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Lorenz, Martin

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Author ID: lorenz.martin Recent zbMATH articles by "Lorenz, Martin"
Published as: Lorenz, M.; Lorenz, Martin
External Links: MGP
Documents Indexed: 76 Publications since 1977, including 3 Books
Reviewing Activity: 134 Reviews

Publications by Year

Citations contained in zbMATH Open

63 Publications have been cited 479 times in 362 Documents Cited by Year
Representations of finite-dimensional Hopf algebras. Zbl 0873.16023
Lorenz, Martin
42
1997
Prime ideals in crossed products of finite groups. Zbl 0426.16008
Lorenz, Martin; Passman, D. S.
42
1979
Multiplicative invariant theory. Zbl 1078.13003
Lorenz, Martin
28
2005
Finite normalizing extensions of rings. Zbl 0455.16010
Lorenz, Martin
23
1981
On crossed products of Hopf algebras. Zbl 0826.16037
Lorenz, Maria E.; Lorenz, Martin
21
1995
Primitive ideals of group algebras of supersoluble groups. Zbl 0341.16003
Lorenz, Martin
17
1977
Primitive ideals in crossed products and rings with finite group actions. Zbl 0356.16013
Lorenz, Martin
16
1978
Addendum: Prime ideals in crossed products of finite groups. Zbl 0439.16010
Lorenz, Martin; Passman, D. S.
15
1980
Fields of definition for division algebras. Zbl 1071.16012
Lorenz, M.; Reichstein, Z.; Rowen, L. H.; Saltman, D. J.
14
2003
Rational points on elliptic curves over \({\mathbb{Q}}\) in elementary abelian 2-extensions of \({\mathbb{Q}}\). Zbl 0586.14013
Laska, Michael; Lorenz, Martin
13
1985
On the class equation for Hopf algebras. Zbl 0902.16032
Lorenz, Martin
12
1998
Group actions and rational ideals. Zbl 1166.16015
Lorenz, Martin
11
2008
On the homology of graded algebras. Zbl 0767.16003
Lorenz, Martin
11
1992
Koszul algebras and the quantum MacMahon master theorem. Zbl 1122.05008
Hai, Phùng Hô; Lorenz, Martin
10
2007
Division algebras generated by finitely generated nilpotent groups. Zbl 0527.16008
Lorenz, Martin
10
1983
Two applications of Maschke’s theorem. Zbl 0447.16007
Lorenz, Martin; Passman, D. S.
10
1980
Observations on crossed products and fixed rings. Zbl 0436.16028
Lorenz, Martin; Passman, D. S.
10
1980
On Gelfand-Kirillov dimension and related topics. Zbl 0662.16002
Lorenz, Martin
9
1988
On free subalgebras of certain division algebras. Zbl 0615.16002
Lorenz, Martin
9
1986
Prime ideals in group algebras of polycyclic-by-finite groups. Zbl 0413.16010
Lorenz, Martin; Passman, D. S.
9
1981
Algebraic group actions on noncommutative spectra. Zbl 1184.16043
Lorenz, Martin
8
2009
On Cohen-Macaulay rings of invariants. Zbl 1002.13003
Lorenz, M.; Pathak, J.
8
2001
Integrality and normalizing extensions of rings. Zbl 0431.16011
Lorenz, Martin; Passman, D. S.
8
1979
Some applications of Frobenius algebras to Hopf algebras. Zbl 1254.16014
Lorenz, Martin
7
2011
On the Gelfand-Kirillov dimension of skew polynomial rings. Zbl 0491.16004
Lorenz, Martin
7
1982
Prime ideals in fixed rings. II. Zbl 0482.16027
Lorenz, Martin; Montgomery, Susan; Small, L. W.
7
1982
Centers and prime ideals in group algebras of polycyclic-by-finite groups. Zbl 0415.16008
Lorenz, Martin; Passman, D. S.
7
1979
Orders of finite groups of matrices. Zbl 1203.20042
Guralnick, Robert M.; Lorenz, Martin
6
2006
Grothendieck groups of invariant rings and of group rings. Zbl 0822.16006
Brown, K. A.; Lorenz, M.
6
1994
On the transcendence degree of group algebras of nilpotent groups. Zbl 0544.16004
Lorenz, Martin
6
1984
Group rings and division rings. Zbl 0542.16009
Lorenz, Martin
6
1984
On the Gelfand-Kirillov dimension of Noetherian PI-algebras. Zbl 0503.16017
Lorenz, Martin; Small, Lance W.
6
1982
\(N\)-homogeneous superalgebras. Zbl 1151.16028
Hai, Phùng Hô; Kriegk, Benoît; Lorenz, Martin
5
2008
Multiplicative invariants and semigroup algebras. Zbl 1031.13001
Lorenz, Martin
5
2001
On certain lattices associated with generic division algebras. Zbl 0998.16012
Lemire, Nicole; Lorenz, Martin
5
2000
Polycyclic-by-finite group algebras are catenary. Zbl 0963.16020
Letzter, Edward S.; Lorenz, Martin
5
1999
Class groups of multiplicative invariants. Zbl 0855.16030
Lorenz, Martin
4
1995
\(K_ 0\) of skew group rings and simple Noetherian rings without idempotents. Zbl 0573.16004
Lorenz, Martin
4
1985
A tour of representation theory. Zbl 1407.16001
Lorenz, Martin
3
2018
On the stratification of noncommutative prime spectra. Zbl 1306.16039
Lorenz, Martin
2
2014
On the Cohen-Macaulay property of multiplicative invariants. Zbl 1129.13005
Lorenz, Martin
2
2006
Grothendieck groups of invariant rings: Linear actions of finite groups. Zbl 0905.19001
Brown, Kenneth A.; Lorenz, Martin
2
1996
On Galois descent for Hochschild and cyclic homology. Zbl 0816.19003
Lorenz, Martin
2
1994
Observations on crossed products and invariants of Hopf algebras. Zbl 0807.16028
Lorenz, Maria E.; Lorenz, Martin
2
1994
Colimits of functors, and Grothendieck groups of infinite group algebras. Zbl 0772.16011
Brown, K. A.; Lorenz, M.
2
1992
On the global dimension of fixed rings. Zbl 0715.16006
Lorenz, Martin
2
1989
Chains of prime ideals in enveloping algebras of solvable Lie algebras. Zbl 0438.17008
Lorenz, Martin
2
1981
Analogs of Clifford’s theorem for polycyclic-by-finite groups. Zbl 0413.16011
Lorenz, Martin
2
1979
Completely prime primitive ideals in group algebras of finitely generated nilpotent-by-finite groups. Zbl 0369.16013
Lorenz, M.
2
1978
Actions of cocommutative Hopf algebras. Zbl 07148895
Lorenz, Martin; Nguyen, Bach; Yammine, Ramy
1
2020
Projective modules over Frobenius algebras and Hopf comodule algebras. Zbl 1266.16034
Lorenz, Martin; Fitzgerald Tokoly, Loretta
1
2011
On Euler classes of Abelian-by-finite groups. Zbl 1054.16003
Lorenz, Martin
1
2003
Picard groups of multiplicative invariants. Zbl 0905.16016
Lorenz, Martin
1
1997
Grothendieck groups and higher class groups of commutative invariants. Zbl 0839.16008
Brown, Kenneth A.; Lorenz, Martin
1
1995
Grothendieck groups of invariant rings: Filtrations. Zbl 0803.16034
Brown, Kenneth A.; Lorenz, Martin
1
1993
Crossed products: Characters, cyclic homology, and Grothendieck groups. Zbl 0744.16014
Lorenz, Martin
1
1992
Goldie ranks of prime polycyclic crossed products. Zbl 0691.16014
Lorenz, Martin
1
1988
Induced resolutions and Grothendieck groups of polycyclic-by-finite groups. Zbl 0655.16013
Brown, Kenneth A.; Howie, James; Lorenz, Martin
1
1988
On Loewy lengths of projective modules for p-solvable groups. Zbl 0576.16010
Lorenz, Martin
1
1985
The Goldie rank of prime supersolvable group algebras. Zbl 0467.16018
Lorenz, Martin
1
1981
Completely prime ideals in Ore extensions. Zbl 0464.16001
Lorenz, Martin
1
1981
On maximal ideals in Ore extensions. Zbl 0496.16002
Lorenz, Martin; Michler, Gerhard
1
1979
The heart of prime ideals in Ore extensions. Zbl 0412.16008
Lorenz, Martin
1
1979
Actions of cocommutative Hopf algebras. Zbl 07148895
Lorenz, Martin; Nguyen, Bach; Yammine, Ramy
1
2020
A tour of representation theory. Zbl 1407.16001
Lorenz, Martin
3
2018
On the stratification of noncommutative prime spectra. Zbl 1306.16039
Lorenz, Martin
2
2014
Some applications of Frobenius algebras to Hopf algebras. Zbl 1254.16014
Lorenz, Martin
7
2011
Projective modules over Frobenius algebras and Hopf comodule algebras. Zbl 1266.16034
Lorenz, Martin; Fitzgerald Tokoly, Loretta
1
2011
Algebraic group actions on noncommutative spectra. Zbl 1184.16043
Lorenz, Martin
8
2009
Group actions and rational ideals. Zbl 1166.16015
Lorenz, Martin
11
2008
\(N\)-homogeneous superalgebras. Zbl 1151.16028
Hai, Phùng Hô; Kriegk, Benoît; Lorenz, Martin
5
2008
Koszul algebras and the quantum MacMahon master theorem. Zbl 1122.05008
Hai, Phùng Hô; Lorenz, Martin
10
2007
Orders of finite groups of matrices. Zbl 1203.20042
Guralnick, Robert M.; Lorenz, Martin
6
2006
On the Cohen-Macaulay property of multiplicative invariants. Zbl 1129.13005
Lorenz, Martin
2
2006
Multiplicative invariant theory. Zbl 1078.13003
Lorenz, Martin
28
2005
Fields of definition for division algebras. Zbl 1071.16012
Lorenz, M.; Reichstein, Z.; Rowen, L. H.; Saltman, D. J.
14
2003
On Euler classes of Abelian-by-finite groups. Zbl 1054.16003
Lorenz, Martin
1
2003
On Cohen-Macaulay rings of invariants. Zbl 1002.13003
Lorenz, M.; Pathak, J.
8
2001
Multiplicative invariants and semigroup algebras. Zbl 1031.13001
Lorenz, Martin
5
2001
On certain lattices associated with generic division algebras. Zbl 0998.16012
Lemire, Nicole; Lorenz, Martin
5
2000
Polycyclic-by-finite group algebras are catenary. Zbl 0963.16020
Letzter, Edward S.; Lorenz, Martin
5
1999
On the class equation for Hopf algebras. Zbl 0902.16032
Lorenz, Martin
12
1998
Representations of finite-dimensional Hopf algebras. Zbl 0873.16023
Lorenz, Martin
42
1997
Picard groups of multiplicative invariants. Zbl 0905.16016
Lorenz, Martin
1
1997
Grothendieck groups of invariant rings: Linear actions of finite groups. Zbl 0905.19001
Brown, Kenneth A.; Lorenz, Martin
2
1996
On crossed products of Hopf algebras. Zbl 0826.16037
Lorenz, Maria E.; Lorenz, Martin
21
1995
Class groups of multiplicative invariants. Zbl 0855.16030
Lorenz, Martin
4
1995
Grothendieck groups and higher class groups of commutative invariants. Zbl 0839.16008
Brown, Kenneth A.; Lorenz, Martin
1
1995
Grothendieck groups of invariant rings and of group rings. Zbl 0822.16006
Brown, K. A.; Lorenz, M.
6
1994
On Galois descent for Hochschild and cyclic homology. Zbl 0816.19003
Lorenz, Martin
2
1994
Observations on crossed products and invariants of Hopf algebras. Zbl 0807.16028
Lorenz, Maria E.; Lorenz, Martin
2
1994
Grothendieck groups of invariant rings: Filtrations. Zbl 0803.16034
Brown, Kenneth A.; Lorenz, Martin
1
1993
On the homology of graded algebras. Zbl 0767.16003
Lorenz, Martin
11
1992
Colimits of functors, and Grothendieck groups of infinite group algebras. Zbl 0772.16011
Brown, K. A.; Lorenz, M.
2
1992
Crossed products: Characters, cyclic homology, and Grothendieck groups. Zbl 0744.16014
Lorenz, Martin
1
1992
On the global dimension of fixed rings. Zbl 0715.16006
Lorenz, Martin
2
1989
On Gelfand-Kirillov dimension and related topics. Zbl 0662.16002
Lorenz, Martin
9
1988
Goldie ranks of prime polycyclic crossed products. Zbl 0691.16014
Lorenz, Martin
1
1988
Induced resolutions and Grothendieck groups of polycyclic-by-finite groups. Zbl 0655.16013
Brown, Kenneth A.; Howie, James; Lorenz, Martin
1
1988
On free subalgebras of certain division algebras. Zbl 0615.16002
Lorenz, Martin
9
1986
Rational points on elliptic curves over \({\mathbb{Q}}\) in elementary abelian 2-extensions of \({\mathbb{Q}}\). Zbl 0586.14013
Laska, Michael; Lorenz, Martin
13
1985
\(K_ 0\) of skew group rings and simple Noetherian rings without idempotents. Zbl 0573.16004
Lorenz, Martin
4
1985
On Loewy lengths of projective modules for p-solvable groups. Zbl 0576.16010
Lorenz, Martin
1
1985
On the transcendence degree of group algebras of nilpotent groups. Zbl 0544.16004
Lorenz, Martin
6
1984
Group rings and division rings. Zbl 0542.16009
Lorenz, Martin
6
1984
Division algebras generated by finitely generated nilpotent groups. Zbl 0527.16008
Lorenz, Martin
10
1983
On the Gelfand-Kirillov dimension of skew polynomial rings. Zbl 0491.16004
Lorenz, Martin
7
1982
Prime ideals in fixed rings. II. Zbl 0482.16027
Lorenz, Martin; Montgomery, Susan; Small, L. W.
7
1982
On the Gelfand-Kirillov dimension of Noetherian PI-algebras. Zbl 0503.16017
Lorenz, Martin; Small, Lance W.
6
1982
Finite normalizing extensions of rings. Zbl 0455.16010
Lorenz, Martin
23
1981
Prime ideals in group algebras of polycyclic-by-finite groups. Zbl 0413.16010
Lorenz, Martin; Passman, D. S.
9
1981
Chains of prime ideals in enveloping algebras of solvable Lie algebras. Zbl 0438.17008
Lorenz, Martin
2
1981
The Goldie rank of prime supersolvable group algebras. Zbl 0467.16018
Lorenz, Martin
1
1981
Completely prime ideals in Ore extensions. Zbl 0464.16001
Lorenz, Martin
1
1981
Addendum: Prime ideals in crossed products of finite groups. Zbl 0439.16010
Lorenz, Martin; Passman, D. S.
15
1980
Two applications of Maschke’s theorem. Zbl 0447.16007
Lorenz, Martin; Passman, D. S.
10
1980
Observations on crossed products and fixed rings. Zbl 0436.16028
Lorenz, Martin; Passman, D. S.
10
1980
Prime ideals in crossed products of finite groups. Zbl 0426.16008
Lorenz, Martin; Passman, D. S.
42
1979
Integrality and normalizing extensions of rings. Zbl 0431.16011
Lorenz, Martin; Passman, D. S.
8
1979
Centers and prime ideals in group algebras of polycyclic-by-finite groups. Zbl 0415.16008
Lorenz, Martin; Passman, D. S.
7
1979
Analogs of Clifford’s theorem for polycyclic-by-finite groups. Zbl 0413.16011
Lorenz, Martin
2
1979
On maximal ideals in Ore extensions. Zbl 0496.16002
Lorenz, Martin; Michler, Gerhard
1
1979
The heart of prime ideals in Ore extensions. Zbl 0412.16008
Lorenz, Martin
1
1979
Primitive ideals in crossed products and rings with finite group actions. Zbl 0356.16013
Lorenz, Martin
16
1978
Completely prime primitive ideals in group algebras of finitely generated nilpotent-by-finite groups. Zbl 0369.16013
Lorenz, M.
2
1978
Primitive ideals of group algebras of supersoluble groups. Zbl 0341.16003
Lorenz, Martin
17
1977
all top 5

Cited by 395 Authors

24 Lorenz, Martin
13 Passman, Donald Steven
12 Bell, Jason P.
10 Chen, Huixiang
10 Zhang, James J.
9 Montgomery, Susan
8 Li, Libin
7 Wang, Zhihua
7 Zhang, Yinhuo
6 Brown, Kenneth Alexander
6 Cohen, Miriam
6 Gonçalves, Jairo Zacarias
6 Irving, Ronald S.
6 Nastasescu, Constantin
6 Sharma, Ram Parkash
5 Hoshi, Akinari
5 Wu, Quanshui S.
5 Yamasaki, Aiichi
4 Chin, William
4 Goodearl, Kenneth R.
4 Heinicke, A. G.
4 Launois, Stéphane
4 Merkur’ev, Aleksandr Sergeevich
4 Parvathi, M. R.
4 Reichstein, Zinovy B.
4 Robson, J. Chris
4 Stafford, J. Toby
4 Westreich, Sara
3 Alev, Jacques
3 Bell, Allen D.
3 Daniels, Harris B.
3 González-Jiménez, Enrique
3 Grzeszczuk, Piotr
3 Kang, Ming-Chang
3 Kemper, Gregor
3 Kriegk, Benoit
3 Liu, Gongxiang
3 Öinert, Johan
3 Rogalski, Daniel
3 Schneider, Hans-Jürgen
3 Small, Lance W.
3 Stewart, Patrick N.
3 Tesemma, Mohammed
3 van Oystaeyen, Freddy
3 Vay, Cristian
3 Wang, Xingting
3 Yammine, Ramy
2 Baek, Sanghoon
2 Bergen, Jeffrey
2 Berger, Roland
2 Blum-Smith, Ben
2 Braun, Amiram
2 Campello de Souza, Ricardo M.
2 Castella, Dominique
2 Cortiñas, Guillermo H.
2 Cuadra, Juan
2 Dăscălescu, Sorin
2 Derickx, Maarten
2 Etingof, Pavel Il’ich
2 Ferreira, Vitor O.
2 Fujita, Yasutsugu
2 Futorny, Vyacheslav M.
2 Garibaldi, Skip
2 Geer, Nathan
2 Gelaki, Shlomo
2 Gupta, Ashish
2 Guralnick, Robert Michael
2 Hassanein, A. M.
2 Herscovich, Estanislao
2 Hiss, Gerhard
2 Holland, Martin P.
2 Jabbour, Samira
2 Jordan, David Alan
2 Kadison, Lars
2 Kirkman, Ellen E.
2 Kujawa, Jonathan R.
2 Lenagan, Thomas H.
2 Levasseur, Thierry
2 Lima, Juliano B.
2 Loustaunau, Philippe
2 Lozano-Robledo, Álvaro
2 Lu, Di-Ming
2 Matzri, Eliyahu
2 Meir, Ehud
2 Najman, Filip
2 Nguyen, Bach T.
2 Obul, Abdukadir
2 Okniński, Jan
2 Pak, Igor
2 Popov, Vladimir Leonidovich
2 Puninski, Gena
2 Quinn, Declan
2 Rowen, Louis Halle
2 Sánchez, Javier
2 Shapiro, Jay Allen
2 Shirvani, Mazi
2 Sigurdsson, Gunnar
2 Silvestrov, Sergei D.
2 Smith, Patrick Fleming
2 Solotar, Andrea Leonor
...and 295 more Authors
all top 5

Cited in 73 Serials

84 Journal of Algebra
54 Communications in Algebra
21 Proceedings of the American Mathematical Society
16 Israel Journal of Mathematics
16 Transactions of the American Mathematical Society
15 Journal of Pure and Applied Algebra
14 Algebras and Representation Theory
12 Advances in Mathematics
10 Mathematische Zeitschrift
5 Archiv der Mathematik
5 Glasgow Mathematical Journal
5 Transformation Groups
5 Journal of Algebra and its Applications
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Algebra Colloquium
3 Mathematics of Computation
3 Journal of Number Theory
3 Manuscripta Mathematica
3 Acta Applicandae Mathematicae
3 Linear Algebra and its Applications
3 Acta Mathematica Sinica. English Series
3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Mathematical Notes
2 Annales de l’Institut Fourier
2 Duke Mathematical Journal
2 Memoirs of the American Mathematical Society
2 Nagoya Mathematical Journal
2 Pacific Journal of Mathematics
2 Journal of the American Mathematical Society
2 Bulletin of the American Mathematical Society. New Series
2 Journal of Mathematical Sciences (New York)
2 Bulletin des Sciences Mathématiques
2 Representation Theory
1 Communications in Mathematical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nuclear Physics. B
1 Rocky Mountain Journal of Mathematics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Canadian Mathematical Bulletin
1 Compositio Mathematica
1 Geometriae Dedicata
1 Journal of Soviet Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Rendiconti del Seminario Matematico della Università di Padova
1 Revista Colombiana de Matemáticas
1 Topology and its Applications
1 Advances in Applied Mathematics
1 Journal of Symbolic Computation
1 Science in China. Series A
1 International Journal of Mathematics
1 Discrete Mathematics and Applications
1 Applicable Algebra in Engineering, Communication and Computing
1 Journal of Algebraic Combinatorics
1 Journal of Algebraic Geometry
1 Journal of Group Theory
1 Annals of Mathematics. Second Series
1 LMS Journal of Computation and Mathematics
1 Journal of the European Mathematical Society (JEMS)
1 Algebraic & Geometric Topology
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 International Journal of Geometric Methods in Modern Physics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Journal of Zhejiang University. Science A
1 Frontiers of Mathematics in China
1 Journal of Noncommutative Geometry
1 Groups, Geometry, and Dynamics
1 Algebra & Number Theory
1 Asian-European Journal of Mathematics
1 Transactions of the London Mathematical Society
1 Research in Number Theory
1 Proceedings of the American Mathematical Society. Series B
1 Prikladnaya Diskretnaya Matematika

Citations by Year