Edit Profile (opens in new tab) Darnel, Michael R. Co-Author Distance Author ID: darnel.michael-r Published as: Darnel, Michael R.; Darnel, Michael; Darnel, M. R.; Darnel, M. more...less Documents Indexed: 43 Publications since 1985, including 1 Book Co-Authors: 15 Co-Authors with 27 Joint Publications 246 Co-Co-Authors all top 5 Co-Authors 16 single-authored 13 Conrad, Paul F. 6 Holland, Wilbur Charles jun. 3 Pajoohesh, Homeira 2 Ball, Richard N. 2 Chen, Yuanqian 2 Glass, Andrew M. W. 2 Martinez, Jorge 1 Anderson, Marlow 1 Bixler, J. Patrick 1 Feil, Todd 1 Giraudet, Michèle 1 McCleary, Stephen H. 1 Nelson, David G. 1 Rhemtulla, Akbar Hussein 1 Wojciechowski, Piotr J. all top 5 Serials 12 Algebra Universalis 6 Czechoslovak Mathematical Journal 5 Order 3 Communications in Algebra 2 Transactions of the American Mathematical Society 1 Rocky Mountain Journal of Mathematics 1 Archiv der Mathematik 1 Journal of Algebra 1 Mathematica Slovaca 1 Michigan Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Forum Mathematicum 1 Tatra Mountains Mathematical Publications 1 Pure and Applied Mathematics, Marcel Dekker all top 5 Fields 43 Order, lattices, ordered algebraic structures (06-XX) 17 Group theory and generalizations (20-XX) 6 General algebraic systems (08-XX) 2 Functional analysis (46-XX) 2 General topology (54-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 305 times in 252 Documents Cited by ▼ Year ▼ Theory of lattice-ordered groups. Zbl 0810.06016 Darnel, Michael R. 184 1995 Generalized Boolean algebras in lattice-ordered groups. Zbl 0919.06009 Conrad, Paul F.; Darnel, Michael R. 17 1998 Closure operators on radical classes of lattice-ordered groups. Zbl 0624.06022 Darnel, Michael 12 1987 Special-valued \(l\)-groups and Abelian covers. Zbl 0627.06014 Darnel, Michael 9 1987 Above and below subgroups of a lattice-ordered group. Zbl 0628.06013 Ball, Richard N.; Conrad, Paul; Darnel, Michael 9 1986 Special-valued \(\ell\)-groups. Zbl 0582.06017 Bixler, J. Patrick; Darnel, Michael 8 1986 Lattice-ordered groups whose lattices determine their additions. Zbl 0756.06009 Conrad, Paul F.; Darnel, Michael R. 8 1992 Subgroups and hulls of Specker lattice-ordered groups. Zbl 0978.06011 Conrad, Paul F.; Darnel, Michael R. 6 2001 Minimal non-metabelian varieties of \(\ell\)-groups which contain no nonabelian \(o\)-groups. Zbl 1320.06014 Darnel, M. R.; Holland, W. C. 6 2014 \(\ell\)-groups with unique addition. Zbl 0614.06010 Conrad, P.; Darnel, M. 5 1986 A variety of lattice-ordered groups containing all representable covers of the abelian variety. Zbl 0738.06015 Anderson, M.; Darnel, M.; Feil, T. 5 1991 Solvable covers of the Boolean variety of unital \(\ell \)-groups. Zbl 1209.06008 Darnel, Michael R.; Charles Holland, W. 4 2009 Radical classes of lattice-ordered groups vs. classes of compact spaces. Zbl 1011.06018 Darnel, Michael R.; Martinez, Jorge 3 2002 Groups in which every right order is two sided. Zbl 0675.06011 Darnel, Michael R.; Glass, A. M. W.; Rhemtulla, Akbar H. 3 1989 The relationship of partial metric varieties and commuting powers varieties. Zbl 1282.06016 Darnel, Michael R.; Holland, W. Charles; Pajoohesh, Homeira 3 2013 Varieties minimal over representable varieties of lattice-ordered groups. Zbl 0790.06019 Darnel, Michael R. 2 1993 Above and below subgroups of a lattice ordered group. Zbl 0577.06015 Ball, Richard N.; Conrad, Paul; Darnel, Michael 2 1985 The structure of free Abelian \(\ell\)-groups and free vector lattices. Zbl 0617.06014 Darnel, Michael R. 2 1986 Closure operators on radical classes of lattice-ordered groups. Zbl 0661.06007 Darnel, Michael 2 1987 Countably valued lattice-ordered groups. Zbl 0870.06012 Conrad, P. F.; Darnel, M. R. 2 1996 Archimedean closed lattice-ordered groups. Zbl 1058.06019 Chen, Yuanqian; Conrad, Paul; Darnel, Michael 2 2004 Commutator relations and identities in lattice-ordered groups. Zbl 0691.06007 Darnel, Michael R.; Glass, A. M. W. 2 1989 Generalized commutativity of lattice-ordered groups. II. Zbl 1334.06031 Darnel, M. R.; Holland, W. C.; Pajoohesh, H. 1 2016 \(\sigma \)-interpolation lattice-ordered groups. Zbl 1035.06004 Darnel, Michael R. 1 2000 Recent results on the free lattice-ordered group over a right-orderable group. Zbl 0708.06012 Darnel, Michael R. 1 1989 The free lattice-ordered group over a nilpotent group. Zbl 0724.06009 Darnel, Michael R. 1 1991 Generalized commutativity of lattice-ordered groups. Zbl 1349.06045 Darnel, M. R.; Holland, W. C.; Pajoohesh, H. 1 2015 Disjoint conjugate chains. Zbl 0792.06014 Darnel, Michael R. 1 1993 Finite-valued subgroups of lattice-ordered groups. Zbl 0879.06010 Chen, Yuanqian; Conrad, Paul; Darnel, Michael 1 1996 Uniqueness of the group operation on the lattice of order-automorphisms of the real line. Zbl 0819.06014 Darnel, M. R.; Giraudet, M.; McCleary, S. H. 1 1995 Valuations of lattice-ordered groups. Zbl 0880.06007 Conrad, Paul F.; Darnel, Michael R.; Nelson, David G. 1 1997 Generalized commutativity of lattice-ordered groups. II. Zbl 1334.06031 Darnel, M. R.; Holland, W. C.; Pajoohesh, H. 1 2016 Generalized commutativity of lattice-ordered groups. Zbl 1349.06045 Darnel, M. R.; Holland, W. C.; Pajoohesh, H. 1 2015 Minimal non-metabelian varieties of \(\ell\)-groups which contain no nonabelian \(o\)-groups. Zbl 1320.06014 Darnel, M. R.; Holland, W. C. 6 2014 The relationship of partial metric varieties and commuting powers varieties. Zbl 1282.06016 Darnel, Michael R.; Holland, W. Charles; Pajoohesh, Homeira 3 2013 Solvable covers of the Boolean variety of unital \(\ell \)-groups. Zbl 1209.06008 Darnel, Michael R.; Charles Holland, W. 4 2009 Archimedean closed lattice-ordered groups. Zbl 1058.06019 Chen, Yuanqian; Conrad, Paul; Darnel, Michael 2 2004 Radical classes of lattice-ordered groups vs. classes of compact spaces. Zbl 1011.06018 Darnel, Michael R.; Martinez, Jorge 3 2002 Subgroups and hulls of Specker lattice-ordered groups. Zbl 0978.06011 Conrad, Paul F.; Darnel, Michael R. 6 2001 \(\sigma \)-interpolation lattice-ordered groups. Zbl 1035.06004 Darnel, Michael R. 1 2000 Generalized Boolean algebras in lattice-ordered groups. Zbl 0919.06009 Conrad, Paul F.; Darnel, Michael R. 17 1998 Valuations of lattice-ordered groups. Zbl 0880.06007 Conrad, Paul F.; Darnel, Michael R.; Nelson, David G. 1 1997 Countably valued lattice-ordered groups. Zbl 0870.06012 Conrad, P. F.; Darnel, M. R. 2 1996 Finite-valued subgroups of lattice-ordered groups. Zbl 0879.06010 Chen, Yuanqian; Conrad, Paul; Darnel, Michael 1 1996 Theory of lattice-ordered groups. Zbl 0810.06016 Darnel, Michael R. 184 1995 Uniqueness of the group operation on the lattice of order-automorphisms of the real line. Zbl 0819.06014 Darnel, M. R.; Giraudet, M.; McCleary, S. H. 1 1995 Varieties minimal over representable varieties of lattice-ordered groups. Zbl 0790.06019 Darnel, Michael R. 2 1993 Disjoint conjugate chains. Zbl 0792.06014 Darnel, Michael R. 1 1993 Lattice-ordered groups whose lattices determine their additions. Zbl 0756.06009 Conrad, Paul F.; Darnel, Michael R. 8 1992 A variety of lattice-ordered groups containing all representable covers of the abelian variety. Zbl 0738.06015 Anderson, M.; Darnel, M.; Feil, T. 5 1991 The free lattice-ordered group over a nilpotent group. Zbl 0724.06009 Darnel, Michael R. 1 1991 Groups in which every right order is two sided. Zbl 0675.06011 Darnel, Michael R.; Glass, A. M. W.; Rhemtulla, Akbar H. 3 1989 Commutator relations and identities in lattice-ordered groups. Zbl 0691.06007 Darnel, Michael R.; Glass, A. M. W. 2 1989 Recent results on the free lattice-ordered group over a right-orderable group. Zbl 0708.06012 Darnel, Michael R. 1 1989 Closure operators on radical classes of lattice-ordered groups. Zbl 0624.06022 Darnel, Michael 12 1987 Special-valued \(l\)-groups and Abelian covers. Zbl 0627.06014 Darnel, Michael 9 1987 Closure operators on radical classes of lattice-ordered groups. Zbl 0661.06007 Darnel, Michael 2 1987 Above and below subgroups of a lattice-ordered group. Zbl 0628.06013 Ball, Richard N.; Conrad, Paul; Darnel, Michael 9 1986 Special-valued \(\ell\)-groups. Zbl 0582.06017 Bixler, J. Patrick; Darnel, Michael 8 1986 \(\ell\)-groups with unique addition. Zbl 0614.06010 Conrad, P.; Darnel, M. 5 1986 The structure of free Abelian \(\ell\)-groups and free vector lattices. Zbl 0617.06014 Darnel, Michael R. 2 1986 Above and below subgroups of a lattice ordered group. Zbl 0577.06015 Ball, Richard N.; Conrad, Paul; Darnel, Michael 2 1985 all cited Publications top 5 cited Publications all top 5 Cited by 147 Authors 30 Dvurečenskij, Anatolij 27 Jakubík, Ján 23 Rump, Wolfgang 21 Darnel, Michael R. 21 Martinez, Jorge 20 Hager, Anthony W. 16 McGovern, Warren Wm. 14 Holland, Wilbur Charles jun. 11 Conrad, Paul F. 10 Ball, Richard N. 9 Pajoohesh, Homeira 9 Zahiri, Omid 8 Tsinakis, Constantine 6 Boulabiar, Karim Mohamed 6 Wynne, Brian 5 Carrera, Ricardo E. 5 Marra, Vincenzo 5 Scowcroft, Philip 4 Botur, Michal 4 Di Nola, Antonio 4 Kimber, Chawne Monique 4 Kowalski, Tomasz 4 Lafuente-Rodríguez, Ramiro H. 4 Ma, Jingjing 4 Paoli, Francesco 3 Chen, Yuanqian 3 Dietzel, Carsten 3 Foulis, David James 3 Kopperman, Ralph David 3 Ledda, Antonio 3 McAlister, Donald B. 3 Redfield, Robert H. 3 Zenk, Eric Richard 2 Andima, Susan J. 2 Bennett, Mary Katherine 2 Bhattacharjee, Papiya 2 Černák, Štefan 2 Glass, Andrew M. W. 2 Hajji, Rawaa 2 Iberkleid, Wolf 2 Knox, Michelle L. 2 Larson, Suzanne 2 Lucas, François 2 Mahfoudhi, Mounir 2 McCleary, Stephen H. 2 Medvedev, Nikolaj Ya. 2 Morozova, S. V. 2 Panti, Giovanni 2 Ton, Daorong 2 Walters-Wayland, Joanne 2 Yang, Yi-Chuan 1 Aguzzoli, Stefano 1 Anderson, Marlow 1 Banaschewski, Bernhard 1 Bayanova, Nadezhda Vladimirovna 1 Belluce, Lawrence Peter 1 Ben Amor, Mohamed Amine 1 Bergman, George M. 1 Bianchi, Matteo 1 Bixler, J. Patrick 1 Boccuto, Antonio 1 Borzooei, Rajabali A. 1 Bou, Félix 1 Castiglioni, José Luis 1 Cignoli, Roberto 1 Ciungu, Lavinia Corina 1 Colacito, Almudena 1 Cruz, Isabel F. 1 Csontóová, Mária 1 Davidson, Kenneth R. 1 Dickmann, Max A. 1 Droste, Manfred 1 El Adeb, Chiheb 1 Feil, Todd 1 Finocchiaro, Carmelo Antonio 1 Fritz, Tobias 1 Fuller, Adam Hanley 1 Garrão, A. Paula 1 Gerla, Brunella 1 Gil-Férez, José 1 Giraldes, Emilia 1 Giraudet, Michèle 1 Giuntini, Roberto 1 Gjomemo, Rigel 1 Gluschankof, Daniel 1 Gomes, Gracinda M. S. 1 Greechie, Richard J. 1 Gurchenkov, Sergei A. 1 Hafsi, Hamza 1 Hort, Daniel 1 Hosseini, Fateme 1 Jipsen, Peter 1 Johnson, Donald Glen 1 Jordan, Francis 1 Kakariadis, Evgenios T. A. 1 Karamdoust, Soudabeh 1 Katai-Urban, Kamilla 1 Kizanis, Ann 1 Klingler, Lee C. 1 Kühr, Jan ...and 47 more Authors all top 5 Cited in 61 Serials 39 Algebra Universalis 29 Czechoslovak Mathematical Journal 18 Mathematica Slovaca 16 Communications in Algebra 15 Journal of Pure and Applied Algebra 13 Journal of Algebra 10 Soft Computing 7 Topology and its Applications 7 Order 6 Applied Categorical Structures 5 Studia Logica 5 Forum Mathematicum 5 Positivity 4 Quaestiones Mathematicae 4 Semigroup Forum 4 Annals of Pure and Applied Logic 3 Fuzzy Sets and Systems 2 International Journal of Theoretical Physics 2 Reports on Mathematical Physics 2 Algebra and Logic 2 Fundamenta Mathematicae 2 The Journal of Symbolic Logic 2 Proceedings of the American Mathematical Society 2 Siberian Mathematical Journal 2 Transactions of the American Mathematical Society 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Journal of the Australian Mathematical Society 2 Journal of Applied Logic 2 Foundations of Physics 2 Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika 2 Categories and General Algebraic Structures with Applications 1 Journal of Mathematical Analysis and Applications 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Colloquium Mathematicum 1 Dissertationes Mathematicae 1 Geometriae Dedicata 1 Journal of Number Theory 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Advances in Applied Mathematics 1 Mathematica Bohemica 1 International Journal of Algebra and Computation 1 MSCS. Mathematical Structures in Computer Science 1 Linear Algebra and its Applications 1 Indagationes Mathematicae. New Series 1 Topology Proceedings 1 Theory and Applications of Categories 1 Journal of Group Theory 1 Journal of Discrete Mathematical Sciences & Cryptography 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Journal of Algebra and its Applications 1 Iranian Journal of Fuzzy Systems 1 Bollettino dell’Unione Matematica Italiana all top 5 Cited in 26 Fields 229 Order, lattices, ordered algebraic structures (06-XX) 50 Mathematical logic and foundations (03-XX) 44 Group theory and generalizations (20-XX) 36 General topology (54-XX) 24 General algebraic systems (08-XX) 21 Functional analysis (46-XX) 18 Quantum theory (81-XX) 15 Associative rings and algebras (16-XX) 14 Commutative algebra (13-XX) 13 Category theory; homological algebra (18-XX) 6 Combinatorics (05-XX) 3 History and biography (01-XX) 3 Number theory (11-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Field theory and polynomials (12-XX) 2 Operator theory (47-XX) 2 Geometry (51-XX) 2 Manifolds and cell complexes (57-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 \(K\)-theory (19-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year