Edit Profile (opens in new tab) Goodearl, Kenneth R. Compute Distance To: Compute Author ID: goodearl.kenneth-r Published as: Goodearl, Kenneth R.; Goodearl, K. R.; Goodearl, Kenneth; Goodearl, Ken R. Homepage: http://web.math.ucsb.edu/~goodearl/ External Links: MGP · GND Member of Collective: Rainwater, John Documents Indexed: 176 Publications since 1970, including 15 Books 2 Contributions as Editor Reviewing Activity: 252 Reviews Biographic References: 1 Publication Co-Authors: 40 Co-Authors with 105 Joint Publications 670 Co-Co-Authors all top 5 Co-Authors 72 single-authored 20 Lenagan, Thomas H. 12 Ara, Pere 9 Yakimov, Milen T. 8 Brown, Kenneth Alexander 8 Handelman, David E. 8 Letzter, Edward S. 8 Warfield, Robert Breckenridge jun. 6 Pardo, Enrique 5 Launois, Stéphane 4 Huisgen-Zimmermann, Birge 4 Stafford, J. Toby 4 Zhang, James J. 3 Menal, Pere 3 O’Meara, Kevin C. 3 Wehrung, Friedrich 2 Bell, Allen D. 2 Boyle, Ann K. 2 Jordan, David Alan 2 Moncasi, Jaume 2 Zimmermann-Huisgen, Birge 1 Aranda Pino, Gonzalo 1 Arkhangel’skiĭ, Aleksandr Vladimirovich 1 Benson, David John 1 Eklof, Paul C. 1 Fuchs, László 1 González-Barroso, M. A. 1 Hartwig, Jonas T. 1 Hodges, Timothy J. 1 Lawrence, John W. 1 Perera, Francesc 1 Raphael, Robert M. 1 Rigal, Laurent 1 Roberts, Paul C. 1 Rushing, T. Benny 1 Schofield, A. H. 1 Siles Molina, Mercedes 1 Small, Lance W. 1 Trlifaj, Jan jun. 1 Tyukavkin, D. V. 1 Vinsonhaler, Charles I. all top 5 Serials 20 Pacific Journal of Mathematics 14 Journal of Algebra 10 Transactions of the American Mathematical Society 8 Proceedings of the American Mathematical Society 7 Communications in Algebra 7 Journal of Pure and Applied Algebra 7 Memoirs of the American Mathematical Society 4 Journal of the London Mathematical Society. Second Series 4 Journal für die Reine und Angewandte Mathematik 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Proceedings of the London Mathematical Society. Third Series 3 Advances in Mathematics 3 Glasgow Mathematical Journal 3 Mathematische Annalen 3 Mathematische Zeitschrift 2 Rocky Mountain Journal of Mathematics 2 Canadian Journal of Mathematics 2 Duke Mathematical Journal 2 Journal of Functional Analysis 2 \(K\)-Theory 2 Publicacions Matemàtiques 2 Forum Mathematicum 2 Linear Algebra and its Applications 2 London Mathematical Society Student Texts 1 Israel Journal of Mathematics 1 Algebra Universalis 1 American Journal of Mathematics 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Canadian Mathematical Bulletin 1 Indiana University Mathematics Journal 1 Journal of Differential Equations 1 Osaka Journal of Mathematics 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Semigroup Forum 1 Publicacions. Secciò de Matemàtiques 1 International Journal of Mathematics 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Notices of the American Mathematical Society 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Algebra and its Applications 1 Oberwolfach Reports 1 Bulletin of the American Mathematical Society 1 Contemporary Mathematics 1 Mathematical Surveys and Monographs 1 Pure and Applied Mathematics, Marcel Dekker 1 Algebra & Number Theory 1 São Paulo Journal of Mathematical Sciences 1 Proceedings of the American Mathematical Society. Series B 1 Advanced Courses in Mathematics – CRM Barcelona 1 Monographs and Studies in Mathematics all top 5 Fields 148 Associative rings and algebras (16-XX) 30 Nonassociative rings and algebras (17-XX) 23 Commutative algebra (13-XX) 23 Functional analysis (46-XX) 18 Group theory and generalizations (20-XX) 12 Order, lattices, ordered algebraic structures (06-XX) 10 \(K\)-theory (19-XX) 8 Algebraic geometry (14-XX) 5 Differential geometry (53-XX) 4 Field theory and polynomials (12-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Combinatorics (05-XX) 2 General algebraic systems (08-XX) 2 Category theory; homological algebra (18-XX) 2 Potential theory (31-XX) 2 Operator theory (47-XX) 2 Algebraic topology (55-XX) 1 Ordinary differential equations (34-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 162 Publications have been cited 3,571 times in 2,401 Documents Cited by ▼ Year ▼ An introduction to noncommutative Noetherian rings. Zbl 0679.16001Goodearl, Kenneth R.; Warfield, R. B. jun. 288 1989 An introduction to noncommutative Noetherian rings. 2nd ed. Zbl 1101.16001Goodearl, Kenneth R.; Warfield, R. B. jun. 199 2004 Von Neumann regular rings. Zbl 0411.16007Goodearl, Kenneth R. 198 1979 Partially ordered Abelian groups with interpolation. Zbl 0589.06008Goodearl, Kenneth R. 185 1986 Lectures on algebraic quantum groups. Zbl 1027.17010Brown, Ken A.; Goodearl, Ken R. 174 2002 Von Neumann regular rings. 2nd ed. Zbl 0749.16001Goodearl, Kenneth R. 166 1991 Ring theory. Nonsingular rings and modules. Zbl 0336.16001Goodearl, Kenneth R. 125 1976 Separative cancellation for projective modules over exchange rings. Zbl 0908.16002Ara, P.; Goodearl, Kenneth R.; O’Meara, K. C.; Pardo, E. 113 1998 Prime ideals in skew polynomial rings and quantized Weyl algebras. Zbl 0779.16010Goodearl, Kenneth R. 76 1992 Singular torsion and the splitting properties. Zbl 0242.16018Goodearl, Kenneth R. 73 1972 Homological aspects of Noetherian PI Hopf algebras and irreducible modules of maximal dimension. Zbl 0892.16022Brown, K. A.; Goodearl, Kenneth R. 59 1997 The Dixmier-Moeglin equivalence in quantum coordinate rings and quantized Weyl algebras. Zbl 0978.16040Goodearl, K. R.; Letzter, E. S. 57 2000 Stable range one for rings with many units. Zbl 0653.16013Goodearl, Kenneth R.; Menal, P. 55 1988 \(K_0\) of purely infinite simple regular rings. Zbl 1012.16013Ara, P.; Goodearl, K. R.; Pardo, E. 54 2002 Algebras over zero-dimensional rings. Zbl 0317.16004Goodearl, Kenneth R.; Warfield, R. B. jun. 52 1976 Leavitt path algebras of separated graphs. Zbl 1281.46050Ara, Pere; Goodearl, Kenneth R. 43 2012 Notes on real and complex C*-algebras. Zbl 0495.46039Goodearl, Kenneth R. 41 1982 Rank functions and \(K_0\) of regular rings. Zbl 0321.16009Goodearl, Kenneth R.; Handelman, D. 38 1976 Primitivity in differential operator rings. Zbl 0495.16002Goodearl, Kenneth R.; Warfield, Robert B. jun. 37 1982 Prime factor algebras of the coordinate ring of quantum matrices. Zbl 0812.16039Goodearl, Kenneth R.; Letzter, E. S. 36 1994 Prime ideals in skew and \(q\)-skew polynomial rings. Zbl 0814.16026Goodearl, Kenneth R.; Letzter, E. S. 35 1994 Diagonalization of matrices over regular rings. Zbl 0883.15006Ara, P.; Goodearl, Kenneth R.; O’Meara, K. C.; Pardo, E. 35 1997 Centralizers in differential, pseudo-differential, and fractional differential operator rings. Zbl 0532.16002Goodearl, Kenneth R. 34 1983 Simple self-injective rings. Zbl 0311.16029Goodearl, Kenneth R.; Handelman, D. 33 1975 Catenarity in quantum algebras. Zbl 0864.16018Goodearl, Kenneth R.; Lenagan, T. H. 32 1996 Leavitt path algebras and direct limits. Zbl 1194.16012Goodearl, K. R. 32 2009 Uniform rank over differential operator rings and Poincaré-Birkhoff- Witt extensions. Zbl 0598.16002Bell, A. D.; Goodearl, Kenneth R. 31 1988 Poisson structures on affine spaces and flag varieties. II. Zbl 1179.53087Goodearl, K. R.; Yakimov, M. 29 2009 Surjective endomorphisms of finitely generated modules. Zbl 0612.16020Goodearl, Kenneth R. 26 1987 Quantum cluster algebra structures on quantum nilpotent algebras. Zbl 1372.16040Goodearl, K. R.; Yakimov, M. T. 26 2017 Notes on a class of simple \(C^*\)-algebras with real rank zero. Zbl 0812.46052Goodearl, Kenneth R. 25 1992 Noetherian Hopf algebra domains of Gelfand-Kirillov dimension two. Zbl 1228.16030Goodearl, K. R.; Zhang, J. J. 25 2010 Poisson structures on affine spaces and flag varieties. I: Matrix affine Poisson space. Zbl 1105.53062Brown, K. A.; Goodearl, K. R.; Yakimov, M. 25 2006 Periodic flat modules, and flat modules for finite groups. Zbl 1073.20500Benson, D. J.; Goodearl, K. R. 24 2000 Affine representations of Grothendieck groups and applications to Rickart \(C^*\)-algebras and \(\aleph_0\)-continuous regular rings. Zbl 0435.16005Goodearl, Kenneth R.; Handelman, D. E.; Lawrence, J. W. 24 1980 Prime spectra of quantum semisimple groups. Zbl 0857.16026Brown, K. A.; Goodearl, Kenneth R. 23 1996 A Dixmier-Moeglin equivalence for Poisson algebras with torus actions. Zbl 1147.17017Goodearl, K. R. 23 2006 Quantum determinantal ideals. Zbl 0958.16025Goodearl, K. R.; Lenagan, T. H. 23 2000 Rings over which certain modules are injective. Zbl 0275.16024Boyle, Ann K.; Goodearl, Kenneth R. 23 1974 Simple modules over hereditary Noetherian prime rings. Zbl 0422.16002Goodearl, Kenneth R.; Warfield jun., R. B. 22 1979 Power-cancellation of groups and modules. Zbl 0308.16016Goodearl, Kenneth R. 22 1976 Prime and primitive spectra of multiparameter quantum affine spaces. Zbl 0904.16001Goodearl, Kenneth R.; Letzter, E. S. 21 1998 Dimension theory for nonsingular injective modules. Zbl 0335.16024Goodearl, Kenneth R.; Boyle, Ann K. 21 1976 Free and residually artinian regular rings. Zbl 0780.16006Goodearl, Kenneth R.; Menal, P.; Moncasi, J. 20 1993 Fractional skew monoid rings. Zbl 1063.16033Ara, P.; González-Barroso, M. A.; Goodearl, K. R.; Pardo, E. 20 2004 Prime ideals in regular self-injective rings. Zbl 0229.16021Goodearl, Kenneth R. 20 1972 Totally nonnegative cells and matrix Poisson varieties. Zbl 1210.14055Goodearl, K. R.; Launois, S.; Lenagan, T. H. 20 2011 Metric completions of partially ordered Abelian groups. Zbl 0455.06012Goodearl, Kenneth R.; Handelman, D. E. 19 1980 Torus-invariant prime ideals in quantum matrices, totally nonnegative cells and symplectic leaves. Zbl 1234.16018Goodearl, K. R.; Launois, S.; Lenagan, T. H. 18 2011 \(K_ 1\) of separative exchange rings and \(C^ *\)-algebras with real rank zero. Zbl 1108.46311Ara, P.; Goodearl, K. R.; O’Meara, K. C.; Raphael, R. 18 2000 Distributing tensor product over direct product. Zbl 0237.13007Goodearl, Kenneth R. 18 1972 Tensor products of dimension groups and \(K_ 0\) of unit-regular rings. Zbl 0608.16027Goodearl, Kenneth R.; Handelman, D. E. 17 1986 \(K\)-theoretically simple von Neumann regular rings. Zbl 0837.16008Ara, P.; Goodearl, Kenneth R.; Pardo, E.; Tyukavkin, D. V. 17 1995 Non-simple purely infinite rings. Zbl 1206.16003Aranda Pino, G.; Goodearl, K. R.; Perera, F.; Siles Molina, M. 17 2010 Von Neumann regular rings and direct sum decomposition problems. Zbl 0841.16008Goodearl, Kenneth R. 16 1995 Subrings of idealizer rings. Zbl 0297.16018Goodearl, Kenneth R. 16 1975 Quantum cluster algebras and quantum nilpotent algebras. Zbl 1355.16037Goodearl, Kenneth R.; Yakimov, Milen T. 16 2014 \(K_ 0\) of multiplier algebras of \(C^*\)-algebras with real rank zero. Zbl 0857.46044Goodearl, Kenneth R. 15 1996 Quantum \(n\)-space as a quotient of classical \(n\)-space. Zbl 0978.16041Goodearl, K. R.; Letzter, E. S. 15 2000 Semiclassical limits of quantized coordinate rings. Zbl 1202.16027Goodearl, K. R. 15 2010 From quantum Ore extensions to quantum tori via noncommutative UFDs. Zbl 1352.16037Goodearl, K. R.; Yakimov, M. T. 14 2016 The graded version of Goldie’s theorem. Zbl 0985.16031Goodearl, K. R.; Stafford, J. T. 14 2000 Localization and splitting in hereditary noetherian prime rings. Zbl 0259.16002Goodearl, Kenneth R. 14 1974 Homological properties of quantized coordinate rings of semisimple groups. Zbl 1120.16039Goodearl, K. R.; Zhang, J. J. 13 2007 Cancellation of low-rank vector bundles. Zbl 0493.55007Goodearl, Kenneth R. 13 1984 Torsion in \(K_ 0\) of unit-regular rings. Zbl 0821.16008Goodearl, Kenneth R. 13 1995 Representations of distributive semilattices in ideal lattices of various algebraic structures. Zbl 1039.06003Goodearl, K. R.; Wehrung, F. 13 2001 Dually slender modules and steady rings. Zbl 0866.16003Eklof, Paul C.; Goodearl, Kenneth R.; Trlifaj, Jan 13 1997 Prime spectra of quantized coordinate rings. Zbl 0984.16039Goodearl, K. R. 13 2000 Simple regular rings and rank functions. Zbl 0285.16008Goodearl, Kenneth R. 13 1975 Prime ideals invariant under winding automorphisms in quantum matrices. Zbl 1054.16030Goodearl, K. R.; Lenagan, T. H. 12 2002 C\(^*\)-algebras of separated graphs. Zbl 1235.46048Ara, P.; Goodearl, K. R. 12 2011 Direct sum properties of quasi-injective modules. Zbl 0321.16016Goodearl, Kenneth R. 12 1976 Free and residually finite-dimensional \(C^*\)-algebras. Zbl 0708.46051Goodearl, Kenneth R.; Menal, P. 11 1990 Artinian and Noetherian modules over regular rings. Zbl 0438.16006Goodearl, Kenneth R. 11 1980 The realization problem for some wild monoids and the Atiyah problem. Zbl 1405.16013Ara, P.; Goodearl, K. R. 11 2017 Constructing bad Noetherian local domains using derivations. Zbl 0692.13005Goodearl, Kenneth R.; Lenagan, T. H. 10 1989 Krull versus global dimension in noetherian P.I. rings. Zbl 0519.16011Goodearl, Kenneth R.; Small, L. W. 10 1984 Riesz decomposition in inductive limit \(C^*\)-algebras. Zbl 0820.46064Goodearl, Kenneth R. 10 1994 The almost isomorphism relation for simple regular rings. Zbl 0792.16013Ara, Pere; Goodearl, Kenneth R. 10 1992 Winding-invariant prime ideals in quantum \(3\times 3\) matrices. Zbl 1059.16035Goodearl, K. R.; Lenagan, T. H. 10 2003 Global dimension of differential operator rings. Zbl 0263.13003Goodearl, Kenneth R. 10 1974 Stenosis in dimension groups and AFC*-algebras. Zbl 0489.46052Goodearl, Kenneth R.; Handelman, D. E. 9 1982 Lengths of submodule chains versus Krull dimension in non-Noetherian modules. Zbl 0563.16015Goodearl, Kenneth R.; Zimmermann-Huisgen, B. 9 1986 Classification of ring and \(C^*\)-algebra direct limits of finite-dimensional semisimple real algebras. Zbl 0629.46053Goodearl, Kenneth R.; Handelman, D. E. 8 1987 The first fundamental theorem of coinvariant theory for the quantum general linear group. Zbl 0972.16022Goodearl, Kenneth R.; Lenagan, Thomas H.; Rigal, Laurent 8 2000 The Dixmier-Moeglin equivalence and a Gel’fand-Kirillov problem for Poisson polynomial algebras. (L’équivalence de Dixmier-Moeglin et un analogue du problème de Gel’fand-Kirillov pour certaines algèbres de Poisson polynômiales.) Zbl 1226.17016Goodearl, K. R.; Launois, S. 8 2011 Noetherian Hopf algebras. Zbl 1292.16023Goodearl, K. R. 8 2013 Directly finite aleph-nought-continuous regular rings. Zbl 0453.16007Goodearl, Kenneth R. 8 1982 Global dimension of differential operator rings. II. Zbl 0306.16018Goodearl, Kenneth R. 8 1975 Tame and wild refinement monoids. Zbl 1375.20062Ara, P.; Goodearl, K. R. 8 2015 Repetitive resolutions over classical orders and finite dimensional algebras. Zbl 0913.16006Goodearl, Kenneth R.; Huisgen-Zimmermann, B. 7 1998 Krull dimension of differential operator rings. Zbl 0493.16004Goodearl, Kenneth R.; Warfield, R. B. jun. 7 1982 Commutants of ordinary differential operators. Zbl 0406.34020Carlson, R.; Goodearl, Kenneth R. 7 1980 Incompressible critical modules. Zbl 0449.16021Goodearl, Kenneth R. 7 1980 State spaces of \(K_ 0\) of Noetherian rings. Zbl 0472.16005Goodearl, Kenneth R.; Warfield, R. B. jun. 7 1981 Semilattices of groups and inductive limits of Cuntz algebras. Zbl 1115.46059Goodearl, K. R.; Pardo, E.; Wehrung, F. 7 2005 Prime ideals in regular self-injective rings. II. Zbl 0272.16016Goodearl, Kenneth R. 7 1973 Prime ideals in differential operators rings. Catenarity. Zbl 0692.16002Brown, K. A.; Goodearl, Kenneth R.; Lenagan, T. H. 6 1990 A Hilbert basis theorem for quantum groups. Zbl 0888.17003Brown, K. A.; Goodearl, Kenneth R. 6 1997 Integral quantum cluster structures. Zbl 1478.13036Goodearl, K. R.; Yakimov, M. T. 1 2021 The Berenstein-Zelevinsky quantum cluster algebra conjecture. Zbl 1471.13046Goodearl, Kenneth R.; Yakimov, M. T. 5 2020 Tauvel’s height formula for quantum nilpotent algebras. Zbl 1478.16025Goodearl, K. R.; Launois, S.; Lenagan, T. H. 1 2019 Closures in varieties of representations and irreducible components. Zbl 1420.16008Goodearl, Kenneth; Huisgen-Zimmermann, Birge 3 2018 Twist invariants of graded algebras. Zbl 1398.16014Goodearl, K. R.; Yakimov, M. T. 2 2018 Quantum cluster algebra structures on quantum nilpotent algebras. Zbl 1372.16040Goodearl, K. R.; Yakimov, M. T. 26 2017 The realization problem for some wild monoids and the Atiyah problem. Zbl 1405.16013Ara, P.; Goodearl, K. R. 11 2017 Non-affine Hopf algebra domains of Gelfand-Kirillov dimension two. Zbl 1396.16024Goodearl, K. R.; Zhang, J. J. 2 2017 From quantum Ore extensions to quantum tori via noncommutative UFDs. Zbl 1352.16037Goodearl, K. R.; Yakimov, M. T. 14 2016 Tame and wild refinement monoids. Zbl 1375.20062Ara, P.; Goodearl, K. R. 8 2015 Unipotent and Nakayama automorphisms of quantum nilpotent algebras. Zbl 1359.16036Goodearl, Kenneth R.; Yakimov, Milen T. 5 2015 The isomorphism problem for multiparameter quantized Weyl algebras. Zbl 1332.16027Goodearl, K. R.; Hartwig, Jonas T. 5 2015 Zariski topologies on stratified spectra of quantum algebras. Zbl 1359.16035Brown, Kenneth A.; Goodearl, Kenneth R. 1 2015 Quantum cluster algebras and quantum nilpotent algebras. Zbl 1355.16037Goodearl, Kenneth R.; Yakimov, Milen T. 16 2014 Mini-workshop: Infinite dimensional Hopf algebras. Abstracts from the mini-workshop held April 13–19, 2014. Zbl 1349.00083Brown, Ken A. 2 2014 Noetherian Hopf algebras. Zbl 1292.16023Goodearl, K. R. 8 2013 Leavitt path algebras of separated graphs. Zbl 1281.46050Ara, Pere; Goodearl, Kenneth R. 43 2012 Primitive ideals in quantum \(\text{SL}_3\) and \(\text{GL}_3\). Zbl 1264.16036Goodearl, K. R.; Lenagan, T. H. 3 2012 Irreducible components of module varieties: projective equations and rationality. Zbl 1262.16011Huisgen-Zimmermann, B.; Goodearl, K. R. 3 2012 LU decomposition of totally nonnegative matrices. Zbl 1236.15030Goodearl, K. R.; Lenagan, T. H. 2 2012 Totally nonnegative cells and matrix Poisson varieties. Zbl 1210.14055Goodearl, K. R.; Launois, S.; Lenagan, T. H. 20 2011 Torus-invariant prime ideals in quantum matrices, totally nonnegative cells and symplectic leaves. Zbl 1234.16018Goodearl, K. R.; Launois, S.; Lenagan, T. H. 18 2011 C\(^*\)-algebras of separated graphs. Zbl 1235.46048Ara, P.; Goodearl, K. R. 12 2011 The Dixmier-Moeglin equivalence and a Gel’fand-Kirillov problem for Poisson polynomial algebras. (L’équivalence de Dixmier-Moeglin et un analogue du problème de Gel’fand-Kirillov pour certaines algèbres de Poisson polynômiales.) Zbl 1226.17016Goodearl, K. R.; Launois, S. 8 2011 Noetherian Hopf algebra domains of Gelfand-Kirillov dimension two. Zbl 1228.16030Goodearl, K. R.; Zhang, J. J. 25 2010 Non-simple purely infinite rings. Zbl 1206.16003Aranda Pino, G.; Goodearl, K. R.; Perera, F.; Siles Molina, M. 17 2010 Semiclassical limits of quantized coordinate rings. Zbl 1202.16027Goodearl, K. R. 15 2010 Leavitt path algebras and direct limits. Zbl 1194.16012Goodearl, K. R. 32 2009 Poisson structures on affine spaces and flag varieties. II. Zbl 1179.53087Goodearl, K. R.; Yakimov, M. 29 2009 Semiclassical limits of quantum affine spaces. Zbl 1184.16037Goodearl, K. R.; Letzter, E. S. 5 2009 Homological properties of quantized coordinate rings of semisimple groups. Zbl 1120.16039Goodearl, K. R.; Zhang, J. J. 13 2007 Poisson structures on affine spaces and flag varieties. I: Matrix affine Poisson space. Zbl 1105.53062Brown, K. A.; Goodearl, K. R.; Yakimov, M. 25 2006 A Dixmier-Moeglin equivalence for Poisson algebras with torus actions. Zbl 1147.17017Goodearl, K. R. 23 2006 Commutation relations for arbitrary quantum minors. Zbl 1125.16034Goodearl, Kenneth R. 5 2006 Semilattices of groups and inductive limits of Cuntz algebras. Zbl 1115.46059Goodearl, K. R.; Pardo, E.; Wehrung, F. 7 2005 The complete dimension theory of partially ordered systems with equivalence and orthogonality. Zbl 1075.06001Goodearl, K. R.; Wehrung, F. 6 2005 Stable rank of corner rings. Zbl 1065.19001Ara, P.; Goodearl, K. R. 4 2005 Quantized coinvariants at transcendental \(q\). Zbl 1083.16024Goodearl, K. R.; Lenagan, T. H. 3 2005 Simplicity of noncommutative Dedekind domains. Zbl 1065.16001Goodearl, K. R.; Stafford, J. T. 1 2005 An introduction to noncommutative Noetherian rings. 2nd ed. Zbl 1101.16001Goodearl, Kenneth R.; Warfield, R. B. jun. 199 2004 Fractional skew monoid rings. Zbl 1063.16033Ara, P.; González-Barroso, M. A.; Goodearl, K. R.; Pardo, E. 20 2004 Winding-invariant prime ideals in quantum \(3\times 3\) matrices. Zbl 1059.16035Goodearl, K. R.; Lenagan, T. H. 10 2003 Lectures on algebraic quantum groups. Zbl 1027.17010Brown, Ken A.; Goodearl, Ken R. 174 2002 \(K_0\) of purely infinite simple regular rings. Zbl 1012.16013Ara, P.; Goodearl, K. R.; Pardo, E. 54 2002 Prime ideals invariant under winding automorphisms in quantum matrices. Zbl 1054.16030Goodearl, K. R.; Lenagan, T. H. 12 2002 Representations of distributive semilattices in ideal lattices of various algebraic structures. Zbl 1039.06003Goodearl, K. R.; Wehrung, F. 13 2001 The Dixmier-Moeglin equivalence in quantum coordinate rings and quantized Weyl algebras. Zbl 0978.16040Goodearl, K. R.; Letzter, E. S. 57 2000 Periodic flat modules, and flat modules for finite groups. Zbl 1073.20500Benson, D. J.; Goodearl, K. R. 24 2000 Quantum determinantal ideals. Zbl 0958.16025Goodearl, K. R.; Lenagan, T. H. 23 2000 \(K_ 1\) of separative exchange rings and \(C^ *\)-algebras with real rank zero. Zbl 1108.46311Ara, P.; Goodearl, K. R.; O’Meara, K. C.; Raphael, R. 18 2000 Quantum \(n\)-space as a quotient of classical \(n\)-space. Zbl 0978.16041Goodearl, K. R.; Letzter, E. S. 15 2000 The graded version of Goldie’s theorem. Zbl 0985.16031Goodearl, K. R.; Stafford, J. T. 14 2000 Prime spectra of quantized coordinate rings. Zbl 0984.16039Goodearl, K. R. 13 2000 The first fundamental theorem of coinvariant theory for the quantum general linear group. Zbl 0972.16022Goodearl, Kenneth R.; Lenagan, Thomas H.; Rigal, Laurent 8 2000 Prime ideals in certain quantum determinantal rings. Zbl 0982.16020Goodearl, K. R.; Lenagan, T. H. 1 2000 Separative cancellation for projective modules over exchange rings. Zbl 0908.16002Ara, P.; Goodearl, Kenneth R.; O’Meara, K. C.; Pardo, E. 113 1998 Prime and primitive spectra of multiparameter quantum affine spaces. Zbl 0904.16001Goodearl, Kenneth R.; Letzter, E. S. 21 1998 Repetitive resolutions over classical orders and finite dimensional algebras. Zbl 0913.16006Goodearl, Kenneth R.; Huisgen-Zimmermann, B. 7 1998 Homological aspects of Noetherian PI Hopf algebras and irreducible modules of maximal dimension. Zbl 0892.16022Brown, K. A.; Goodearl, Kenneth R. 59 1997 Diagonalization of matrices over regular rings. Zbl 0883.15006Ara, P.; Goodearl, Kenneth R.; O’Meara, K. C.; Pardo, E. 35 1997 Dually slender modules and steady rings. Zbl 0866.16003Eklof, Paul C.; Goodearl, Kenneth R.; Trlifaj, Jan 13 1997 A Hilbert basis theorem for quantum groups. Zbl 0888.17003Brown, K. A.; Goodearl, Kenneth R. 6 1997 Catenarity in quantum algebras. Zbl 0864.16018Goodearl, Kenneth R.; Lenagan, T. H. 32 1996 Prime spectra of quantum semisimple groups. Zbl 0857.16026Brown, K. A.; Goodearl, Kenneth R. 23 1996 \(K_ 0\) of multiplier algebras of \(C^*\)-algebras with real rank zero. Zbl 0857.46044Goodearl, Kenneth R. 15 1996 \(K\)-theoretically simple von Neumann regular rings. Zbl 0837.16008Ara, P.; Goodearl, Kenneth R.; Pardo, E.; Tyukavkin, D. V. 17 1995 Von Neumann regular rings and direct sum decomposition problems. Zbl 0841.16008Goodearl, Kenneth R. 16 1995 Torsion in \(K_ 0\) of unit-regular rings. Zbl 0821.16008Goodearl, Kenneth R. 13 1995 Skew polynomial extensions of commutative Noetherian Jacobson rings. Zbl 0839.16023Goodearl, Kenneth R.; Letzter, E. S. 1 1995 Algebras of bounded finite dimensional representation type. Zbl 0849.16014Bell, Allen D.; Goodearl, Kenneth R. 1 1995 Prime factor algebras of the coordinate ring of quantum matrices. Zbl 0812.16039Goodearl, Kenneth R.; Letzter, E. S. 36 1994 Prime ideals in skew and \(q\)-skew polynomial rings. Zbl 0814.16026Goodearl, Kenneth R.; Letzter, E. S. 35 1994 Riesz decomposition in inductive limit \(C^*\)-algebras. Zbl 0820.46064Goodearl, Kenneth R. 10 1994 \(K_ 0\) of regular rings with bounded index of nilpotence. Zbl 0816.16012Goodearl, Kenneth R. 2 1994 Free and residually artinian regular rings. Zbl 0780.16006Goodearl, Kenneth R.; Menal, P.; Moncasi, J. 20 1993 Uniform ranks of prime factors of skew polynomial rings. Zbl 0853.16034Goodearl, Kenneth R. 2 1993 Prime ideals in skew polynomial rings and quantized Weyl algebras. Zbl 0779.16010Goodearl, Kenneth R. 76 1992 Notes on a class of simple \(C^*\)-algebras with real rank zero. Zbl 0812.46052Goodearl, Kenneth R. 25 1992 The almost isomorphism relation for simple regular rings. Zbl 0792.16013Ara, Pere; Goodearl, Kenneth R. 10 1992 Warfield in ring theory. Zbl 0758.01010Goodearl, Kenneth R.; Stafford, J. T. 1 1992 Von Neumann regular rings. 2nd ed. Zbl 0749.16001Goodearl, Kenneth R. 166 1991 Prime links in differential operator rings. Zbl 0757.16010Goodearl, Kenneth R. 2 1991 Free and residually finite-dimensional \(C^*\)-algebras. Zbl 0708.46051Goodearl, Kenneth R.; Menal, P. 11 1990 Prime ideals in differential operators rings. Catenarity. Zbl 0692.16002Brown, K. A.; Goodearl, Kenneth R.; Lenagan, T. H. 6 1990 Classical localizability in solvable enveloping algebras and Poincaré- Birkhoff-Witt extensions. Zbl 0712.16017Goodearl, Kenneth R. 5 1990 Extensions of dimension groups and AF \(C^*\)-algebras. Zbl 0712.46028Goodearl, Kenneth R. 3 1990 An introduction to noncommutative Noetherian rings. Zbl 0679.16001Goodearl, Kenneth R.; Warfield, R. B. jun. 288 1989 Constructing bad Noetherian local domains using derivations. Zbl 0692.13005Goodearl, Kenneth R.; Lenagan, T. H. 10 1989 Cancellation of finitely generated modules over regular rings. Zbl 0716.16007Goodearl, Kenneth R.; Moncasi, J. 3 1989 Global dimension of differential operator rings. IV: Simple modules. Zbl 0656.16001Goodearl, Kenneth R. 2 1989 Stable range one for rings with many units. Zbl 0653.16013Goodearl, Kenneth R.; Menal, P. 55 1988 Uniform rank over differential operator rings and Poincaré-Birkhoff- Witt extensions. Zbl 0598.16002Bell, A. D.; Goodearl, Kenneth R. 31 1988 Linked injectives and Ore localizations. Zbl 0612.16005Goodearl, Kenneth R. 5 1988 Localizations of essential extensions. Zbl 0619.16001Goodearl, Kenneth R.; Jordan, D. A. 2 1988 Surjective endomorphisms of finitely generated modules. Zbl 0612.16020Goodearl, Kenneth R. 26 1987 Classification of ring and \(C^*\)-algebra direct limits of finite-dimensional semisimple real algebras. Zbl 0629.46053Goodearl, Kenneth R.; Handelman, D. E. 8 1987 Partially ordered Abelian groups with interpolation. Zbl 0589.06008Goodearl, Kenneth R. 185 1986 Tensor products of dimension groups and \(K_ 0\) of unit-regular rings. Zbl 0608.16027Goodearl, Kenneth R.; Handelman, D. E. 17 1986 Lengths of submodule chains versus Krull dimension in non-Noetherian modules. Zbl 0563.16015Goodearl, Kenneth R.; Zimmermann-Huisgen, B. 9 1986 Boundedness of direct products of torsion modules. Zbl 0581.16001Goodearl, Kenneth R.; Zimmermann-Huisgen, B. 5 1986 ...and 62 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,744 Authors 70 Goodearl, Kenneth R. 53 Ara, Pere 51 Chen, Huanyin 41 Dvurečenskij, Anatolij 40 Lee, Yang 28 Foulis, David James 27 Zhang, James J. 26 Pardo, Enrique 25 Pulmannová, Sylvia 24 Handelman, David E. 24 Lenagan, Thomas H. 23 Yakimov, Milen T. 22 Huynh, Dinh Van 22 Launois, Stéphane 22 Moussavi, Ahmad 20 Birkenmeier, Gary Francis 20 Lam, Tsit-Yuen 19 Letzter, Edward S. 18 Bell, Jason P. 18 Brown, Kenneth Alexander 18 Facchini, Alberto 18 Kwak, Tai Keun 18 Mundici, Daniele 18 Oh, Sei-Qwon 18 O’Meara, Kevin C. 18 Tuganbaev, Askar Akanovich 18 Wehrung, Friedrich 17 Khurana, Dinesh 17 Kim, Nam Kyun 17 López-Permouth, Sergio Roberto 17 Perera, Francesc 17 Rizvi, Syed Tariq 17 Zhou, Yiqiang 16 Abrams, Gene D. 16 Bavula, Vladimir V. 16 Smith, Patrick Fleming 16 Trlifaj, Jan jun. 15 Vaš, Lia 14 Hazrat, Roozbeh 14 Jordan, David Alan 14 Lin, Huaxin 14 Quynh, Truong Cong 14 Srivastava, Ashish Kumar 13 Aranda Pino, Gonzalo 13 Bhat, Vijay Kumar 13 Menal, Pere 13 Nielsen, Pace P. 13 Wu, Quanshui S. 12 Abyzov, Adel Nailevich 12 Behboodi, Mahmood 12 Braun, Amiram 12 Di Nola, Antonio 12 Koşan, Muhammet Tamer 12 Marubayashi, Hidetoshi 12 Rangaswamy, Kulumani M. 12 Reyes, Armando 12 Siles Molina, Mercedes 12 Wang, Xingting 11 Jain, Surender Kumar 11 Leroy, André Gérard 11 Okniński, Jan 11 Paykan, Kamal 11 Vedadi, Mohammad Reza 11 Warfield, Robert Breckenridge jun. 11 Yousif, Mohamed F. 11 Žemlička, Jan 10 Durğun, Yılmaz 10 Guédénon, Thomas 10 Hashemi, Ebrahim 10 Herbera, Dolors 10 Kee Kim, Hong 10 Lee, Tsiu-Kwen 10 Matczuk, Jerzy 10 Park, Jae Keol 10 Teply, Mark L. 10 Tercan, Adnan 10 Tribak, Rachid 9 Albrecht, Ulrich F. 9 Alhevaz, Abdollah 9 Gómez Torrecillas, José 9 Guil Asensio, Pedro A. 9 Herrmann, Christian 9 Keskin Tutuncu, Derya 9 Kirkman, Ellen E. 9 Kuzmanovich, James J. 9 Levy, Lawrence S. 9 Nasr-Isfahani, Alireza R. 9 Nicholson, W. Keith 9 Rørdam, Mikael 9 Stafford, J. Toby 9 Walton, Chelsea 8 Büyükasik, Engin 8 Hannah, John M. 8 Hong, Chan Yong 8 Jenčová, Anna 8 Nam, Tran Giang 8 Nazemian, Zahra 8 Phillips, N. Christopher 7 Adm, Mohammad 7 Flaminio, Tommaso ...and 1,644 more Authors all top 5 Cited in 267 Serials 366 Communications in Algebra 366 Journal of Algebra 145 Journal of Pure and Applied Algebra 91 Journal of Algebra and its Applications 81 Proceedings of the American Mathematical Society 76 Transactions of the American Mathematical Society 59 Algebras and Representation Theory 57 Advances in Mathematics 40 Israel Journal of Mathematics 39 Journal of Functional Analysis 37 Glasgow Mathematical Journal 28 Linear Algebra and its Applications 25 Bulletin of the Australian Mathematical Society 23 Czechoslovak Mathematical Journal 23 Proceedings of the Edinburgh Mathematical Society. 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Mathematics 5 Representation Theory 5 Foundations of Physics 5 Frontiers of Mathematics in China 5 Science China. Mathematics 4 Indian Journal of Pure & Applied Mathematics 4 Journal of Mathematical Physics 4 Mathematical Notes 4 Journal of Geometry and Physics 4 Monatshefte für Mathematik 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Bulletin of the Korean Mathematical Society 4 Journal of Symbolic Computation 4 Revista Matemática Iberoamericana 4 Bulletin of the American Mathematical Society. New Series 4 Journal of Algebraic Combinatorics 4 Applied Categorical Structures 4 Boletín de la Sociedad Matemática Mexicana. Third Series 4 Communications of the Korean Mathematical Society 4 Algebra and Discrete Mathematics 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 European Journal of Pure and Applied Mathematics 4 São Paulo Journal of Mathematical Sciences 4 Bulletin of Mathematical Sciences 4 Journal of Algebraic Systems 3 Discrete Mathematics 3 Moscow University Mathematics Bulletin ...and 167 more Serials all top 5 Cited in 46 Fields 1,758 Associative rings and algebras (16-XX) 285 Nonassociative rings and algebras (17-XX) 284 Functional analysis (46-XX) 242 Commutative algebra (13-XX) 221 Order, lattices, ordered algebraic structures (06-XX) 210 Group theory and generalizations (20-XX) 122 Algebraic geometry (14-XX) 120 Mathematical logic and foundations (03-XX) 114 \(K\)-theory (19-XX) 112 Category theory; homological algebra (18-XX) 97 Quantum theory (81-XX) 79 Combinatorics (05-XX) 64 Linear and multilinear algebra; matrix theory (15-XX) 53 Operator theory (47-XX) 40 General topology (54-XX) 38 Number theory (11-XX) 28 Dynamical systems and ergodic theory (37-XX) 27 Field theory and polynomials (12-XX) 26 General algebraic systems (08-XX) 24 Topological groups, Lie groups (22-XX) 22 Differential geometry (53-XX) 19 Measure and integration (28-XX) 19 Global analysis, analysis on manifolds (58-XX) 17 Manifolds and cell complexes (57-XX) 14 Algebraic topology (55-XX) 14 Computer science (68-XX) 13 Probability theory and stochastic processes (60-XX) 10 Convex and discrete geometry (52-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Abstract harmonic analysis (43-XX) 8 Ordinary differential equations (34-XX) 7 Partial differential equations (35-XX) 6 History and biography (01-XX) 6 Difference and functional equations (39-XX) 5 Geometry (51-XX) 5 Systems theory; control (93-XX) 4 Functions of a complex variable (30-XX) 3 General and overarching topics; collections (00-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Numerical analysis (65-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 Real functions (26-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year