Edit Profile (opens in new tab) Borceux, Francis Co-Author Distance Author ID: borceux.francis Published as: Borceux, Francis; Borceux, F.; Borceux, Fr. more...less External Links: MGP Documents Indexed: 108 Publications since 1972, including 16 Books and 2 Additional arXiv Preprints 2 Contributions as Editor Reviewing Activity: 37 Reviews Co-Authors: 34 Co-Authors with 76 Joint Publications 426 Co-Co-Authors all top 5 Co-Authors 33 single-authored 10 van den Bossche, Gilberte 9 Rosický, Jiří 8 Gran, Marino 8 Pedicchio, Maria Cristina 6 Vitale, Enrico Maria 5 Clementino, Maria Manuel 5 Janelidze, George 4 Campanini, Federico 4 Day, Brian John 4 Kelly, Gregory Maxwell 3 Adámek, Jiří 3 Berni-Canani, Ugo 3 Bourn, Dominique 3 Cruciani, Rosanna 3 Quinteiro, Carmen 3 Veit, Barbara 2 Lavendhomme, René 2 Mantovani, Sandra 2 Moens, M.-A. 2 Sousa, Lurdes 2 Succi Cruciani, Rosanna 2 Tholen, Walter 1 Benabou, Jean 1 Caenepeel, Stefaan 1 Dejean, Dominique 1 Grandis, Marco 1 Grandjean, Françoise 1 Johnstone, Peter T. 1 Jung, Achim 1 Korostenski, Mareli 1 Lack, Stephen 1 Rossi, Fabio 1 Simmons, Harold 1 Stubbe, Isar 1 Wick Pelletier, Joan all top 5 Serials 12 Journal of Pure and Applied Algebra 11 Cahiers de Topologie et Géométrie Différentielle Catégoriques 8 Annales de la Société Scientifique de Bruxelles. Série I 7 Theory and Applications of Categories 6 Cahiers de Topologie et Géométrie Différentielle Catégoriques 6 Encyclopedia of Mathematics and Its Applications 5 Applied Categorical Structures 4 Bulletin of the Australian Mathematical Society 4 Rapport. Séminaire de Mathématique. Nouvelle Série 3 Journal of Algebra 2 Advances in Mathematics 2 Algebra Universalis 2 Topology and its Applications 2 Cambridge Studies in Advanced Mathematics 2 Lecture Notes in Mathematics 1 Acta Universitatis Carolinae. Mathematica et Physica 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archivum Mathematicum 1 Commentationes Mathematicae Universitatis Carolinae 1 Journal of the London Mathematical Society. Second Series 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Order 1 Bulletin de la Société Mathématique de Belgique. Série A 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Algebras and Representation Theory 1 Scientiae Mathematicae Japonicae 1 Bulletin de la Société Mathématique de Belgique 1 Mathematics and its Applications (Dordrecht) 1 Textos de Matemática. Série B 1 Categories and General Algebraic Structures with Applications 1 Coimbra Mathematical Texts all top 5 Fields 98 Category theory; homological algebra (18-XX) 15 Order, lattices, ordered algebraic structures (06-XX) 11 General algebraic systems (08-XX) 9 Associative rings and algebras (16-XX) 8 Mathematical logic and foundations (03-XX) 7 History and biography (01-XX) 7 Functional analysis (46-XX) 6 General topology (54-XX) 5 Commutative algebra (13-XX) 5 Algebraic geometry (14-XX) 4 Field theory and polynomials (12-XX) 3 General and overarching topics; collections (00-XX) 3 Geometry (51-XX) 2 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 82 Publications have been cited 1,956 times in 1,449 Documents Cited by ▼ Year ▼ Handbook of categorical algebra. Volume 1: Basic category theory. Zbl 0803.18001 Borceux, Francis 385 1994 Handbook of categorical algebra. 2: Categories and structures. Zbl 0843.18001 Borceux, Francis 330 1994 Handbook of categorical algebra. 3: Categories of sheaves. Zbl 0911.18001 Borceux, Francis 313 1994 Mal’cev, protomodular, homological and semi-abelian categories. Zbl 1061.18001 Borceux, Francis; Bourn, Dominique 192 2004 Internal object actions. Zbl 1121.18004 Borceux, F.; Janelidze, G.; Kelly, G. M. 60 2005 Galois theories. Zbl 0978.12004 Borceux, Francis; Janelidze, George 59 2001 On the representability of actions in a semi-abelian category. Zbl 1103.18006 Borceux, F.; Janelidze, G.; Kelly, G. M. 45 2005 Topological semi-abelian algebras. Zbl 1069.54010 Borceux, F.; Clementino, Maria Manuel 39 2005 Algebra in a localic topos with applications to ring theory. Zbl 0522.18001 Borceux, Francis; van den Bossche, Gilberte 35 1983 Quantales and their sheaves. Zbl 0595.18003 Borceux, Francis; van den Bossche, Gilberte 34 1986 A notion of limit for enriched categories. Zbl 0329.18011 Borceux, Francis; Kelly, G. M. 28 1975 A classification of accessible categories. Zbl 1010.18005 Adámek, Jiří; Borceux, Francis; Lack, Stephen; Rosický, Jiří 27 2002 Quantales and \(C^*\)-algebras. Zbl 0705.06009 Borceux, Francis; Rosicky, Jiří; Van den Bossche, G. 25 1989 An essay on noncommutative topology. Zbl 0683.54007 Borceux, Francis; Van Den Bossche, Gilberte 18 1989 A sheaf representation for modules with applications to Gelfand rings. Zbl 0536.18003 Borceux, Francis; Simmons, Harold; van den Bossche, Gilberte 18 1984 Cauchy completion in category theory. Zbl 0595.18001 Borceux, Francis; Dejean, Dominique 18 1986 On locales of localizations. Zbl 0614.18005 Borceux, F.; Kelly, G. M. 17 1987 A theory of enriched sheaves. Zbl 0883.18006 Borceux, Francis; Quinteiro, Carmen 16 1996 Universal algebra in a closed category. Zbl 0426.18004 Borceux, Francis; Day, Brian 16 1980 A theory of quantal sets. Zbl 0685.18006 Berni-Canani, Ugo; Borceux, Francis; Succi-Cruciani, Rosanna 15 1989 Split extension classifier and centrality. Zbl 1133.18002 Borceux, Francis; Bourn, Dominique 14 2007 A theory of enriched sketches. Zbl 0981.18006 Borceux, F.; Quinteiro, C.; Rosický, J. 14 1998 Skew \(\Omega\)-sets coincide with \(\Omega\)-posets. Zbl 0917.18001 Borceux, Francis; Cruciani, Rosanna 13 1998 A survey of semi-abelian categories. Zbl 1067.18010 Borceux, Francis 12 2004 Purity in algebra. Zbl 1116.08004 Borceux, F.; Rosický, J. 9 2007 A characterization of quasi-toposes. Zbl 0737.18003 Borceux, Francis; Pedicchio, Maria Cristina 9 1991 Handbook of categorical algebra. Volume 1: Basic category theory. Paperback reprint of the hardback edition 1994. Zbl 1143.18001 Borceux, Francis 9 2008 Topological protomodular algebras. Zbl 1259.54003 Borceux, F.; Clementino, Maria Manuel 8 2006 Initial normal covers in bi-Heyting toposes. Zbl 1164.18301 Borceux, Francis; Bourn, Dominique; Johnstone, Peter 8 2006 More on injectivity in locally presentable categories. Zbl 0993.18006 Rosicky, J.; Adamek, J.; Borceux, F. 7 2002 Handbook of categorical algebra. 3: Categories of sheaves. Paperback reprint of the hardback edition 1994. Zbl 1143.18003 Borceux, Francis 7 2008 Protolocalisations of homological categories. Zbl 1151.18012 Borceux, Francis; Clementino, Maria Manuel; Gran, Marino; Sousa, Lurdes 7 2008 Subobject classifier for algebraic structures. Zbl 0636.18003 Borceux, Francis; Veit, Barbara 7 1988 Azumaya categories. Zbl 1033.18005 Borceux, Francis; Vitale, Enrico 7 2002 Handbook of categorical algebra. 2: Categories and structures. Paperback reprint of the hardback edition 1994. Zbl 1143.18002 Borceux, Francis 6 2008 A Morita theorem in topology. Zbl 0781.06013 Borceux, Francis; Vitale, Enrico M. 6 1992 On product-preserving Kan extensions. Zbl 0359.18002 Borceux, Francis; Day, B. J. 6 1977 Short introduction to enriched categories. Zbl 0962.18005 Borceux, Francis; Stubbe, Isar 5 2000 A generic sheaf representation for rings. Zbl 0743.18002 Borceux, Francis; Van den Bossche, Gilberte 5 1991 Left exact presheaves on a small pretopos. Zbl 0926.18003 Borceux, Francis; Pedicchio, Maria Cristina 5 1999 Recovering a frame from its sheaves of algebras. Zbl 0517.18014 Borceux, Francis; van den Bossche, Gilberte 5 1983 Sheaves on a quantale. Zbl 0793.06009 Borceux, Francis; Cruciani, Rosanna 5 1993 On regular presheaves and regular semi-categories. Zbl 1038.18006 Moens, M.-A.; Berni-Canani, U.; Borceux, F. 5 2002 A generic representation theorem for non-commutative rings. Zbl 0806.18003 Borceux, Francis; Cruciani, Rosanna 4 1994 Continuous Grothendieck topologies. Zbl 0612.18005 Borceux, Francis; Veit, Barbara 4 1986 Étale maps of quantales. Zbl 0687.06005 Berni-Canani, U.; Borceux, F.; Succi-Cruciani, R.; Van den Bossche, G. 4 1989 On closure operators and reflections on Goursat categories. Zbl 1153.18003 Borceux, F.; Gran, M.; Mantovani, S. 4 2007 The stable category of preorders in a pretopos. I: General theory. Zbl 1494.18002 Borceux, Francis; Campanini, Federico; Gran, Marino 4 2022 On the notion of bimodel for functorial semantics. Zbl 0804.18003 Borceux, Francis; Vitale, Enrico M. 3 1994 A theory of enriched sheaves. Zbl 0883.18007 Borceux, F.; Quinteiro, C. 3 1996 Boolean algebras in a localic topos. Zbl 0742.18006 Borceux, Francis; Pedicchio, M. C.; Rossi, F. 3 1990 Jordan-Hölder, modularity and distributivity in non-commutative algebra. Zbl 1109.18006 Borceux, Francis; Grandis, Marco 3 2007 Completion universelle des categories. Zbl 0261.18003 Borceux, Francis 3 1972 When is \(\Omega\) a cogenerator in a topos? Zbl 0311.18006 Borceux, Francis 3 1975 Galois theories. Paperback reprint of the hardback edition 2001. Zbl 1141.12001 Borceux, Francis; Janelidze, George 3 2008 Descent theory for Banach modules. Zbl 0659.46047 Borceux, Francis; Pelletier, Joan Wick 3 1988 A monadicity theorem. Zbl 0359.18008 Borceux, Francis; Day, B. J. 3 1977 On von Neumann varieties. Zbl 1057.18004 Borceux, F.; Rosický, J. 3 2004 Groupoids and skeletal categories form a pretorsion theory in \(\mathsf{Cat}\). Zbl 1520.18008 Borceux, Francis; Campanini, Federico; Gran, Marino; Tholen, Walter 3 2023 The stable category of preorders in a pretopos. II: The universal property. Zbl 1503.18004 Borceux, Francis; Campanini, Federico; Gran, Marino 3 2022 Descent theory and Morita theory for ultrametric Banach modules. Zbl 0896.46053 Borceux, Francis; Grandjean, Françoise 2 1998 Categorical algebra and its applications. Proceedings of a conference (first Louvain-la-Neuve conference on categorical algebra), held in Louvain-la-Neuve, Belgium, July 26-August 1, 1987. Zbl 0644.00009 2 1988 The structure of algebraic localizations. Zbl 0611.18004 Borceux, Francis; van den Bossche, Gilberte 2 1986 On the left exactness of orthogonal reflections. Zbl 0632.18002 Borceux, Francis; Veit, Barbara 2 1987 Prime elements in a localic topos. Zbl 0675.18004 Borceux, Francis; Pedicchio, Maria-Cristina 2 1989 Une axiomatique de l’algèbre categorique rélative. Zbl 0282.18009 Borceux, Francis; Lavendhomme, Rene 2 1973 A differential approach to geometry. Geometric trilogy III. Zbl 1290.53001 Borceux, Francis 2 2014 Non-pointed strongly protomodular theories. Zbl 1063.18001 Borceux, F. 2 2004 On bornological semi-abelian algebras. Zbl 1497.18012 Borceux, Francis; Clementino, Maria Manuel 2 2021 On characterisation of finitary algebraic categories. Zbl 0383.18004 Borceux, Francis; Day, B. J. 1 1978 Limites enrichies et existence de V-foncteur adjoint. Zbl 0329.18013 Borceux, Francis 1 1976 Open localizations. Zbl 0751.18003 Borceux, Francis; Korostenski, M. 1 1991 De Morgan’s and strong De Morgan’s laws in a topos of sheaves. Zbl 0644.18004 Borceux, Francis; Pedicchio, M. Cristina 1 1987 On primeness and maximality of filters. Zbl 0679.18001 Borceux, Francis; Pedicchio, Maria-Cristina 1 1989 On Azumaya graphs. Zbl 1040.18005 Moens, M.-A.; Borceux, F. 1 2003 An algebraic approach to geometry. Geometric trilogy II. Zbl 1298.51002 Borceux, Francis 1 2014 Algebraic localizations and elementary toposes. Zbl 0434.18011 Borceux, Francis 1 1980 A remark on categories of separated objects. Zbl 0731.18002 Pedicchio, Maria Cristina; Borceux, Francis 1 1990 Morita equivalence of sketches. Zbl 0977.18005 Adámek, Jiří; Borceux, Francis 1 2000 On filtered weighted colimits of presheaves. Zbl 1169.18004 Borceux, F.; Rosický, J. 1 2008 Sheaves of algebras for a commutative theory. Zbl 0453.18005 Borceux, Francis 1 1981 Higher order sheaves and Banach modules. Zbl 0484.46058 Borceux, Francis 1 1982 Groupoids and skeletal categories form a pretorsion theory in \(\mathsf{Cat}\). Zbl 1520.18008 Borceux, Francis; Campanini, Federico; Gran, Marino; Tholen, Walter 3 2023 The stable category of preorders in a pretopos. I: General theory. Zbl 1494.18002 Borceux, Francis; Campanini, Federico; Gran, Marino 4 2022 The stable category of preorders in a pretopos. II: The universal property. Zbl 1503.18004 Borceux, Francis; Campanini, Federico; Gran, Marino 3 2022 On bornological semi-abelian algebras. Zbl 1497.18012 Borceux, Francis; Clementino, Maria Manuel 2 2021 A differential approach to geometry. Geometric trilogy III. Zbl 1290.53001 Borceux, Francis 2 2014 An algebraic approach to geometry. Geometric trilogy II. Zbl 1298.51002 Borceux, Francis 1 2014 Handbook of categorical algebra. Volume 1: Basic category theory. Paperback reprint of the hardback edition 1994. Zbl 1143.18001 Borceux, Francis 9 2008 Handbook of categorical algebra. 3: Categories of sheaves. Paperback reprint of the hardback edition 1994. Zbl 1143.18003 Borceux, Francis 7 2008 Protolocalisations of homological categories. Zbl 1151.18012 Borceux, Francis; Clementino, Maria Manuel; Gran, Marino; Sousa, Lurdes 7 2008 Handbook of categorical algebra. 2: Categories and structures. Paperback reprint of the hardback edition 1994. Zbl 1143.18002 Borceux, Francis 6 2008 Galois theories. Paperback reprint of the hardback edition 2001. Zbl 1141.12001 Borceux, Francis; Janelidze, George 3 2008 On filtered weighted colimits of presheaves. Zbl 1169.18004 Borceux, F.; Rosický, J. 1 2008 Split extension classifier and centrality. Zbl 1133.18002 Borceux, Francis; Bourn, Dominique 14 2007 Purity in algebra. Zbl 1116.08004 Borceux, F.; Rosický, J. 9 2007 On closure operators and reflections on Goursat categories. Zbl 1153.18003 Borceux, F.; Gran, M.; Mantovani, S. 4 2007 Jordan-Hölder, modularity and distributivity in non-commutative algebra. Zbl 1109.18006 Borceux, Francis; Grandis, Marco 3 2007 Topological protomodular algebras. Zbl 1259.54003 Borceux, F.; Clementino, Maria Manuel 8 2006 Initial normal covers in bi-Heyting toposes. Zbl 1164.18301 Borceux, Francis; Bourn, Dominique; Johnstone, Peter 8 2006 Internal object actions. Zbl 1121.18004 Borceux, F.; Janelidze, G.; Kelly, G. M. 60 2005 On the representability of actions in a semi-abelian category. Zbl 1103.18006 Borceux, F.; Janelidze, G.; Kelly, G. M. 45 2005 Topological semi-abelian algebras. Zbl 1069.54010 Borceux, F.; Clementino, Maria Manuel 39 2005 Mal’cev, protomodular, homological and semi-abelian categories. Zbl 1061.18001 Borceux, Francis; Bourn, Dominique 192 2004 A survey of semi-abelian categories. Zbl 1067.18010 Borceux, Francis 12 2004 On von Neumann varieties. Zbl 1057.18004 Borceux, F.; Rosický, J. 3 2004 Non-pointed strongly protomodular theories. Zbl 1063.18001 Borceux, F. 2 2004 On Azumaya graphs. Zbl 1040.18005 Moens, M.-A.; Borceux, F. 1 2003 A classification of accessible categories. Zbl 1010.18005 Adámek, Jiří; Borceux, Francis; Lack, Stephen; Rosický, Jiří 27 2002 More on injectivity in locally presentable categories. Zbl 0993.18006 Rosicky, J.; Adamek, J.; Borceux, F. 7 2002 Azumaya categories. Zbl 1033.18005 Borceux, Francis; Vitale, Enrico 7 2002 On regular presheaves and regular semi-categories. Zbl 1038.18006 Moens, M.-A.; Berni-Canani, U.; Borceux, F. 5 2002 Galois theories. Zbl 0978.12004 Borceux, Francis; Janelidze, George 59 2001 Short introduction to enriched categories. Zbl 0962.18005 Borceux, Francis; Stubbe, Isar 5 2000 Morita equivalence of sketches. Zbl 0977.18005 Adámek, Jiří; Borceux, Francis 1 2000 Left exact presheaves on a small pretopos. Zbl 0926.18003 Borceux, Francis; Pedicchio, Maria Cristina 5 1999 A theory of enriched sketches. Zbl 0981.18006 Borceux, F.; Quinteiro, C.; Rosický, J. 14 1998 Skew \(\Omega\)-sets coincide with \(\Omega\)-posets. Zbl 0917.18001 Borceux, Francis; Cruciani, Rosanna 13 1998 Descent theory and Morita theory for ultrametric Banach modules. Zbl 0896.46053 Borceux, Francis; Grandjean, Françoise 2 1998 A theory of enriched sheaves. Zbl 0883.18006 Borceux, Francis; Quinteiro, Carmen 16 1996 A theory of enriched sheaves. Zbl 0883.18007 Borceux, F.; Quinteiro, C. 3 1996 Handbook of categorical algebra. Volume 1: Basic category theory. Zbl 0803.18001 Borceux, Francis 385 1994 Handbook of categorical algebra. 2: Categories and structures. Zbl 0843.18001 Borceux, Francis 330 1994 Handbook of categorical algebra. 3: Categories of sheaves. Zbl 0911.18001 Borceux, Francis 313 1994 A generic representation theorem for non-commutative rings. Zbl 0806.18003 Borceux, Francis; Cruciani, Rosanna 4 1994 On the notion of bimodel for functorial semantics. Zbl 0804.18003 Borceux, Francis; Vitale, Enrico M. 3 1994 Sheaves on a quantale. Zbl 0793.06009 Borceux, Francis; Cruciani, Rosanna 5 1993 A Morita theorem in topology. Zbl 0781.06013 Borceux, Francis; Vitale, Enrico M. 6 1992 A characterization of quasi-toposes. Zbl 0737.18003 Borceux, Francis; Pedicchio, Maria Cristina 9 1991 A generic sheaf representation for rings. Zbl 0743.18002 Borceux, Francis; Van den Bossche, Gilberte 5 1991 Open localizations. Zbl 0751.18003 Borceux, Francis; Korostenski, M. 1 1991 Boolean algebras in a localic topos. Zbl 0742.18006 Borceux, Francis; Pedicchio, M. C.; Rossi, F. 3 1990 A remark on categories of separated objects. Zbl 0731.18002 Pedicchio, Maria Cristina; Borceux, Francis 1 1990 Quantales and \(C^*\)-algebras. Zbl 0705.06009 Borceux, Francis; Rosicky, Jiří; Van den Bossche, G. 25 1989 An essay on noncommutative topology. Zbl 0683.54007 Borceux, Francis; Van Den Bossche, Gilberte 18 1989 A theory of quantal sets. Zbl 0685.18006 Berni-Canani, Ugo; Borceux, Francis; Succi-Cruciani, Rosanna 15 1989 Étale maps of quantales. Zbl 0687.06005 Berni-Canani, U.; Borceux, F.; Succi-Cruciani, R.; Van den Bossche, G. 4 1989 Prime elements in a localic topos. Zbl 0675.18004 Borceux, Francis; Pedicchio, Maria-Cristina 2 1989 On primeness and maximality of filters. Zbl 0679.18001 Borceux, Francis; Pedicchio, Maria-Cristina 1 1989 Subobject classifier for algebraic structures. Zbl 0636.18003 Borceux, Francis; Veit, Barbara 7 1988 Descent theory for Banach modules. Zbl 0659.46047 Borceux, Francis; Pelletier, Joan Wick 3 1988 Categorical algebra and its applications. Proceedings of a conference (first Louvain-la-Neuve conference on categorical algebra), held in Louvain-la-Neuve, Belgium, July 26-August 1, 1987. Zbl 0644.00009 2 1988 On locales of localizations. Zbl 0614.18005 Borceux, F.; Kelly, G. M. 17 1987 On the left exactness of orthogonal reflections. Zbl 0632.18002 Borceux, Francis; Veit, Barbara 2 1987 De Morgan’s and strong De Morgan’s laws in a topos of sheaves. Zbl 0644.18004 Borceux, Francis; Pedicchio, M. Cristina 1 1987 Quantales and their sheaves. Zbl 0595.18003 Borceux, Francis; van den Bossche, Gilberte 34 1986 Cauchy completion in category theory. Zbl 0595.18001 Borceux, Francis; Dejean, Dominique 18 1986 Continuous Grothendieck topologies. Zbl 0612.18005 Borceux, Francis; Veit, Barbara 4 1986 The structure of algebraic localizations. Zbl 0611.18004 Borceux, Francis; van den Bossche, Gilberte 2 1986 A sheaf representation for modules with applications to Gelfand rings. Zbl 0536.18003 Borceux, Francis; Simmons, Harold; van den Bossche, Gilberte 18 1984 Algebra in a localic topos with applications to ring theory. Zbl 0522.18001 Borceux, Francis; van den Bossche, Gilberte 35 1983 Recovering a frame from its sheaves of algebras. Zbl 0517.18014 Borceux, Francis; van den Bossche, Gilberte 5 1983 Higher order sheaves and Banach modules. Zbl 0484.46058 Borceux, Francis 1 1982 Sheaves of algebras for a commutative theory. Zbl 0453.18005 Borceux, Francis 1 1981 Universal algebra in a closed category. Zbl 0426.18004 Borceux, Francis; Day, Brian 16 1980 Algebraic localizations and elementary toposes. Zbl 0434.18011 Borceux, Francis 1 1980 On characterisation of finitary algebraic categories. Zbl 0383.18004 Borceux, Francis; Day, B. J. 1 1978 On product-preserving Kan extensions. Zbl 0359.18002 Borceux, Francis; Day, B. J. 6 1977 A monadicity theorem. Zbl 0359.18008 Borceux, Francis; Day, B. J. 3 1977 Limites enrichies et existence de V-foncteur adjoint. Zbl 0329.18013 Borceux, Francis 1 1976 A notion of limit for enriched categories. Zbl 0329.18011 Borceux, Francis; Kelly, G. M. 28 1975 When is \(\Omega\) a cogenerator in a topos? Zbl 0311.18006 Borceux, Francis 3 1975 Une axiomatique de l’algèbre categorique rélative. Zbl 0282.18009 Borceux, Francis; Lavendhomme, Rene 2 1973 Completion universelle des categories. Zbl 0261.18003 Borceux, Francis 3 1972 all cited Publications top 5 cited Publications all top 5 Cited by 1,218 Authors 33 Gran, Marino 31 Borceux, Francis 30 Rosický, Jiří 29 Bourn, Dominique 28 van der Linden, Tim 26 Vitale, Enrico Maria 24 Clementino, Maria Manuel 19 Metere, Giuseppe 19 Tholen, Walter 17 Adámek, Jiří 17 Janelidze, George 17 Mantovani, Sandra 17 Martins-Ferreira, Nelson 17 Montoli, Andrea 17 Rodelo, Diana 15 Janelidze, Zurab 15 Lack, Stephen 14 Casas Miras, José Manuel 14 Gray, James Richard Andrew 14 Jacqmin, Pierre-Alain 13 Mesablishvili, Bachuki 13 Zhang, Dexue 12 Cigoli, Alan S. 11 Jacobs, Bart 11 Lauda, Aaron D. 11 Sousa, Lurdes 11 Voutsadakis, George 10 Di Liberti, Ivan 10 García-Martínez, Xabier 10 Heunen, Chris 10 Milius, Stefan 9 Ardizzoni, Alessandro 9 Diaconescu, Răzvan 9 Höhle, Ulrich 9 Lai, Hongliang 9 Resende, Pedro 9 Vercruysse, Joost 8 Blanc, David Abraham 8 Everaert, Tomas 8 Femić, Bojana 8 Gutiérrez García, Javier 8 Hofmann, Dirk 8 Kurz, Alexander 8 Lucatelli Nunes, Fernando 8 Street, Ross H. 8 Stubbe, Isar 8 Tabuada, Gonçalo 7 Bulacu, Daniel 7 Hoefnagel, Michael Anton 7 Menini, Claudia 7 Pedicchio, Maria Cristina 7 Porst, Hans-Eberhard 7 Reggio, Luca 7 Solovyov, Sergey A. 7 Tendas, Giacomo 6 Caenepeel, Stefaan 6 Datuashvili, Tamar 6 Fiore, Marcelo P. 6 Hasuo, Ichiro 6 Hosseini, Seyed Naser 6 Kubiak, Tomasz 6 Lowen, Wendy 6 Lucyshyn-Wright, Rory B. B. 6 Nakaoka, Hiroyuki 6 Nishimura, Hirokazu 6 Rahn, Moritz 6 Schröder, Lutz 6 Shen, Lili 6 Sobral, Manuela 6 Spivak, David I. 6 Sterck, Florence 6 Ursini, Aldo 6 Wisbauer, Robert 5 Berger, Clemens 5 Cîrstea, Corina 5 Day, Brian John 5 Fritz, Tobias 5 Garkusha, Grigory 5 Gaucher, Philippe 5 Grandis, Marco 5 Haucourt, Emmanuel 5 Karazeris, Panagis 5 Laan, Valdis 5 Malherbe, Octavio 5 Márki, László 5 Muro, Fernando 5 Pattinson, Dirk 5 Šťovíček, Jan 5 Tarizadeh, Abolfazl 5 Torrecillas Jover, Blas 5 van den Bossche, Gilberte 5 Vasilakopoulou, Christina 5 Vogt, Rainer M. 4 Abuhlail, Jawad Y. 4 Aghajani, Mohsen 4 Al-Ezeh, Hasan 4 Beke, Tibor 4 Beliakova, Anna 4 Betti, Renato 4 Böhm, Gabriella ...and 1,118 more Authors all top 5 Cited in 200 Serials 201 Journal of Pure and Applied Algebra 151 Applied Categorical Structures 88 Theory and Applications of Categories 74 Journal of Algebra 67 Advances in Mathematics 34 Theoretical Computer Science 33 Communications in Algebra 33 Cahiers de Topologie et Géométrie Différentielle Catégoriques 33 Topology and its Applications 32 Fuzzy Sets and Systems 23 Algebraic & Geometric Topology 20 Algebra Universalis 20 Mathematical Structures in Computer Science 20 Journal of Algebra and its Applications 18 Journal of Homotopy and Related Structures 15 Annals of Pure and Applied Logic 14 International Journal of Theoretical Physics 14 Quaestiones Mathematicae 14 Cahiers de Topologie et Géométrie Différentielle Catégoriques 14 Logical Methods in Computer Science 12 Categories and General Algebraic Structures with Applications 11 Transactions of the American Mathematical Society 10 Mathematische Zeitschrift 10 Algebras and Representation Theory 9 Journal of Geometry and Physics 9 Semigroup Forum 8 Communications in Mathematical Physics 8 Memoirs of the American Mathematical Society 8 Information and Computation 8 Journal of Mathematical Sciences (New York) 7 Studia Logica 7 Journal of Logical and Algebraic Methods in Programming 6 Journal of the London Mathematical Society. Second Series 6 Logica Universalis 5 Israel Journal of Mathematics 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Mathematical Logic Quarterly (MLQ) 5 Selecta Mathematica. New Series 5 Journal of Noncommutative Geometry 5 Tbilisi Mathematical Journal 5 Higher Structures 4 Bulletin of the Australian Mathematical Society 4 Lithuanian Mathematical Journal 4 The Journal of Symbolic Logic 4 Bulletin of the Iranian Mathematical Society 4 Order 4 Forum Mathematicum 4 Archive for Mathematical Logic 4 Turkish Journal of Mathematics 4 Geometry & Topology 4 Communications in Contemporary Mathematics 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Quantum Topology 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Periodica Mathematica Hungarica 3 Archiv der Mathematik 3 Compositio Mathematica 3 International Journal of Mathematics and Mathematical Sciences 3 Notre Dame Journal of Formal Logic 3 Proceedings of the American Mathematical Society 3 Synthese 3 Journal of Knot Theory and its Ramifications 3 Georgian Mathematical Journal 3 Soft Computing 3 Journal of the Australian Mathematical Society 3 São Paulo Journal of Mathematical Sciences 3 Formalized Mathematics 3 Journal of Applied and Computational Topology 2 Journal of Mathematical Physics 2 Mathematical Notes 2 Beiträge zur Algebra und Geometrie 2 Annales de l’Institut Fourier 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Canadian Journal of Mathematics 2 Czechoslovak Mathematical Journal 2 Duke Mathematical Journal 2 Illinois Journal of Mathematics 2 Journal of Computer and System Sciences 2 Journal of Mathematical Economics 2 Mathematische Annalen 2 Pacific Journal of Mathematics 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Proceedings of the London Mathematical Society. Third Series 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Results in Mathematics 2 Extracta Mathematicae 2 \(K\)-Theory 2 Revista Matemática Iberoamericana 2 Journal of the American Mathematical Society 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Indagationes Mathematicae. New Series 2 Russian Mathematics 2 Journal of Algebraic Combinatorics 2 Journal of Algebraic Geometry 2 Topology Proceedings 2 Bulletin des Sciences Mathématiques 2 Documenta Mathematica 2 Journal of the European Mathematical Society (JEMS) 2 Annales Henri Poincaré 2 Central European Journal of Mathematics ...and 100 more Serials all top 5 Cited in 46 Fields 1,119 Category theory; homological algebra (18-XX) 212 Mathematical logic and foundations (03-XX) 205 Order, lattices, ordered algebraic structures (06-XX) 202 Associative rings and algebras (16-XX) 200 Algebraic topology (55-XX) 152 Computer science (68-XX) 142 Group theory and generalizations (20-XX) 131 General algebraic systems (08-XX) 106 General topology (54-XX) 71 Algebraic geometry (14-XX) 67 Nonassociative rings and algebras (17-XX) 67 Functional analysis (46-XX) 63 Quantum theory (81-XX) 53 Commutative algebra (13-XX) 41 Manifolds and cell complexes (57-XX) 40 \(K\)-theory (19-XX) 36 Topological groups, Lie groups (22-XX) 20 Combinatorics (05-XX) 16 Global analysis, analysis on manifolds (58-XX) 15 Differential geometry (53-XX) 11 General and overarching topics; collections (00-XX) 9 Field theory and polynomials (12-XX) 9 Dynamical systems and ergodic theory (37-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Measure and integration (28-XX) 4 History and biography (01-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Partial differential equations (35-XX) 4 Operator theory (47-XX) 4 Probability theory and stochastic processes (60-XX) 4 Relativity and gravitational theory (83-XX) 4 Information and communication theory, circuits (94-XX) 3 Number theory (11-XX) 3 Geometry (51-XX) 3 Convex and discrete geometry (52-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Abstract harmonic analysis (43-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 1 Real functions (26-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Citations by Year