Francis Borceux

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All published works

Action	Title	Year	Authors
+	Profinite Groupoids and Presheaves	2024	Francis Borceux
+	The Galois Theorem for Rings	2024	Francis Borceux
+	The Galois Theorem of Grothendieck	2024	Francis Borceux
+	The Pierce Spectrum of a Ring	2024	Francis Borceux
+	The Descent Theory of Rings	2024	Francis Borceux
+	Galois Theories of Fields and Rings	2024	Francis Borceux
+ PDF Chat	Groupoids and skeletal categories form a pretorsion theory in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="sans-serif">Cat</mml:mi></mml:math>	2023	Francis Borceux Federico Campanini Marino Gran Walter Tholen
+ PDF Chat	The stable category of preorders in a pretopos II: the universal property	2022	Francis Borceux Federico Campanini Marino Gran
+	The stable category of preorders in a pretopos II: the universal property	2022	Francis Borceux Federico Campanini Marino Gran
+	Pretorsion theories in lextensive categories	2022	Francis Borceux Federico Campanini Marino Gran
+	On coherent systems of subobjects with application to torsion theory	2022	Francis Borceux Maria Manuel Clementino
+	Groupoids and skeletal categories form a pretorsion theory in $\mathsf{Cat}$	2022	Francis Borceux Federico Campanini Marino Gran Walter Tholen
+ PDF Chat	The stable category of preorders in a pretopos I: General theory	2021	Francis Borceux Federico Campanini Marino Gran
+ PDF Chat	On bornological semi-abelian algebras	2021	Francis Borceux Maria Manuel Clementino
+	A Museum of Curves	2013	Francis Borceux
+	A Differential Approach to Geometry	2013	Francis Borceux
+	Skew Curves	2013	Francis Borceux
+	The Birth of Analytic Geometry	2013	Francis Borceux
+	More on Real Affine Spaces	2013	Francis Borceux
+	Euclidean Geometry	2013	Francis Borceux
+	Hermitian Spaces	2013	Francis Borceux
+	Projective Geometry	2013	Francis Borceux
+	Affine Geometry	2013	Francis Borceux
+	Algebraic Curves	2013	Francis Borceux
+	An Algebraic Approach to Geometry	2013	Francis Borceux
+	Some Masters of Greek Geometry	2013	Francis Borceux
+	Hilbert’s Axiomatization of the Plane	2013	Francis Borceux
+	Post-Hellenic Euclidean Geometry	2013	Francis Borceux
+	Some Pioneers of Greek Geometry	2013	Francis Borceux
+	Non-Euclidean Geometry	2013	Francis Borceux
+	Euclid’s Elements	2013	Francis Borceux
+	Projective Geometry	2013	Francis Borceux
+	An Axiomatic Approach to Geometry	2013	Francis Borceux
+	On the representability of actions in the topos context	2012	Francis Borceux
+	On the representability of actions in the topos context	2012	Francis Borceux
+	MONADIC APPROACH TO GALOIS DESCENT AND COHOMOLOGY Dedicated to Dominique Bourn at the occasion of his sixtieth birthday.	2010	Francis Borceux S. Caenepeel George Janelidze
+	Monadic approach to Galois descent and cohomology	2008	Francis Borceux S. Caenepeel George Janelidze
+ PDF Chat	Protolocalisations of homological categories	2008	Francis Borceux Maria Manuel Clementino Marino Gran Lurdes Sousa
+	Protolocalisations of exact Mal'cev categories	2008	Francis Borceux Marino Gran Sandra Mantovani
+	PROTOLOCALISATIONS OF EXACT MAL'CEV CATEGORIES To Walter Tholen, on his sixtieth birthday	2008	Francis Borceux Marino Gran Sandra Mantovani
+	Monadic approach to Galois descent and cohomology	2008	Francis Borceux S. Caenepeel George Janelidze
+	On closure operators and reflections in Goursat categories	2007	Francis Borceux Marino Gran Sandra Mantovani
+	On closure operators and reflections in Goursat categories	2007	Francis Borceux Marino Gran Sandra Mantovani
+	Purity in algebra	2007	Francis Borceux Jiřı́ Rosický
+	On closure operators and reflections in Goursat categories	2007	Francis Borceux Marino Gran Sandra Mantovani
+	Jordan–Hölder, modularity and distributivity in non-commutative algebra	2006	Francis Borceux Marco Grandis
+	Initial normal covers in bi-Heyting toposes	2006	Francis Borceux Dominique Bourn Peter Johnstone
+ PDF Chat	Topological protomodular algebras	2005	Francis Borceux Maria Manuel Clementino
+	ON THE REPRESENTABILITY OF ACTIONS IN A SEMI-ABELIAN CATEGORY	2005	Francis Borceux George Janelidze
+	Non-Pointed Strongly Protomodular Theories	2004	Francis Borceux
+	A survey of semi-abelian categories	2004	Francis Borceux
+ PDF Chat	Topological semi-abelian algebras	2004	Francis Borceux Maria Manuel Clementino
+	ON VON NEUMANN VARIETIES To Aurelio Carboni, on his sixtieth birthday.	2004	Francis Borceux
+	Essentially affine categories	2004	Francis Borceux Dominique Bourn
+	Mal’cev categories	2004	Francis Borceux Dominique Bourn
+	Semi-abelian categories	2004	Francis Borceux Dominique Bourn
+	On von Neumann varieties	2004	Francis Borceux Jiřı́ Rosický
+	Homological categories	2004	Francis Borceux Dominique Bourn
+	Protomodular categories	2004	Francis Borceux Dominique Bourn
+	Mal’cev, Protomodular, Homological and Semi-Abelian Categories	2004	Francis Borceux Dominique Bourn
+	A classification of accessible categories	2002	Jiřı́ Adámek Francis Borceux Stephen Lack Jiřı́ Rosický
+	On regular presheaves and regular semi-categories	2002	Maarten Moens U. Berni-Canani Francis Borceux
+	More on injectivity in locally presentable categories	2002	Jiřı́ Rosický Jiřı́ Adámek Francis Borceux
+	None	2002	Francis Borceux E. M. Vitale
+	Galois theory of Grothendieck	2001	Francis Borceux
+	Categorical Galois theory of commutative rings	2001	Francis Borceux
+	Non-galoisian Galois theory	2001	Francis Borceux
+ PDF Chat	Galois Theories	2001	Francis Borceux George Janelidze
+	None	2000	Jiřı́ Adámek Francis Borceux
+	Short Introduction to Enriched Categories	2000	Francis Borceux Isar Stubbe
+	Left exact presheaves on a small pretopos	1999	Francis Borceux Maria Cristina Pedicchio
+	None	1998	Francis Borceux Françoise Grandjean
+	A THEORY OF ENRICHED SKETCHES	1998	Francis Borceux Carmen Quinteiro Peter Johnstone
+	Skew $\Omega $-sets coincide with $\Omega $-posets	1998	Francis Borceux Rosanna Succi Cruciani
+ PDF Chat	Enriched accessible categories	1996	Francis Borceux Carmen Quinteriro
+	A theory of enriched sheaves	1996	Francis Borceux Carmen Quinteiro
+	The axiom of infinity	1994	Francis Borceux
+	Grothendieck toposes	1994	Francis Borceux
+	The classifying topos	1994	Francis Borceux
+	Handbook of Categorical Algebra	1994	Francis Borceux
+	Abelian categories	1994	Francis Borceux
+	Handbook of Categorical Algebra	1994	Francis Borceux
+	Regular categories	1994	Francis Borceux
+	Categories of fractions	1994	Francis Borceux
+	Flat functors and Cauchy completeness	1994	Francis Borceux
+	Adjoint functors	1994	Francis Borceux
+	A Generic Representation Theorem for Non-commutative Rings	1994	Francis Borceux Rosanna Succi Cruciani
+	On the notion of bimodel for functorial semantics	1994	Francis Borceux E. M. Vitale
+	Basic category theory	1994	Francis Borceux
+	Categories and structures	1994	Francis Borceux
+	A Morita theorem in topology	1992	Francis Borceux E. M. Vitale
+	Open localizations	1991	Francis Borceux M. Karostenski
+	A characterization of quasi-toposes	1991	Francis Borceux Maria Cristina Pedicchio
+	A generic sheaf representation for rings	1991	Francis Borceux Gilberte Van den Bossche
+	Boolean algebras in a localic topos	1990	Francis Borceux Maria Cristina Pedicchio Fabio Rossi
+	A theory of quantal sets	1989	Ugo BerniCanani Francis Borceux Rosanna SucciCruciani
+	Quantales and C∗-Algebras	1989	Francis Borceux Jiřı́ Rosický Gilberte Van den Bossche
+	Prime elements in a localic topos	1989	Francis Borceux Maria Cristina Pedicchio
+	An essay on noncommutative topology	1989	Francis Borceux Gilberte Van den Bossche
+	On primeness and maximality of filters	1989	Francis Borceux Maria Cristina Pedicchio
+	Subobject classifier for algebraic structures	1988	Francis Borceux Barbara Veit
+	Descent theory for Banach modules	1988	Francis Borceux Joan Wick Pelletier
+	On the left exactness of orthogonal reflections	1987	Francis Borceux Barbara Veit
+	On locales of localizations	1987	Francis Borceux G. M. Kelly
+	Cauchy completion in category theory	1986	Francis Borceux Dominique Dejean
+	A Sheaf Representation for Modules with Applications to Gelfand Rings	1984	Francis Borceux Harold Simmons Gilberte Van den Bossche
+	Algebra in a Localic Topos with Applications to Ring Theory	1983	Francis Borceux G. Vandenbossche
+	Recovering a frame from its sheaves of algebras	1983	Francis Borceux Gilberte Van den Bossche
+	Categories of algebraic sheaves	1983	Francis Borceux Gilberte Van den Bossche
+	Pure representation of rings	1983	Francis Borceux Gilberte Van den Bossche
+	Applications to module theory	1983	Francis Borceux Gilberte Van den Bossche
+ PDF Chat	Algebra in a Localic Topos with Applications to Ring Theory	1983	Francis Borceux Gilberte Van den Bossche
+	Gelfand rings	1983	Francis Borceux Gilberte Van den Bossche
+	Higher order sheaves and Banach modules	1982	Francis Borceux
+	Sheaves of Algebras for a Commutative Theory	1981	Francis Borceux
+	Universal algebra in a closed category	1980	Francis Borceux Brian Day
+ PDF Chat	On characterisation of finitary algebraic categories	1978	Francis Borceux Brian J. Day
+ PDF Chat	On product-preserving Kan extensions	1977	Francis Borceux Brian J. Day
+ PDF Chat	A monadicity theorem	1977	Francis Borceux Brian J. Day
+ PDF Chat	A notion of limit for enriched categories	1975	Francis Borceux G. M. Kelly
+	Limites enrichies et existence de $V$-foncteur adjoint	1975	Francis Borceux
+	When is $\Omega $ a cogenerator in a topos ?	1975	Francis Borceux

Common Coauthors

Coauthor	Papers Together
Marino Gran	12
Gilberte Van den Bossche	10
Dominique Bourn	7
Federico Campanini	6
Sandra Mantovani	5
Maria Manuel Clementino	5
Jir̆ı́ Rosický	5
Maria Cristina Pedicchio	5
George Janelidze	5
Brian J. Day	3
S. Caenepeel	3
E. M. Vitale	3
Jiřı́ Adámek	3
Rosanna Succi Cruciani	2
G. M. Kelly	2
Peter Johnstone	2
Walter Tholen	2
Barbara Veit	2
Carmen Quinteiro	2
Stephen Lack	1
Joan Wick Pelletier	1
Lurdes Sousa	1
Maarten Moens	1
Isar Stubbe	1
Ugo BerniCanani	1
Dominique Dejean	1
Fabio Rossi	1
U. Berni-Canani	1
G. Vandenbossche	1
Carmen Quinteriro	1
M. Karostenski	1
Brian Day	1
Marco Grandis	1
Harold Simmons	1
Françoise Grandjean	1
Rosanna SucciCruciani	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Semi-abelian categories	2002	George Janelidze L. Márki Walter Tholen	13
+ PDF Chat	Categories for the Working Mathematician	1971	Saunders Mac Lane	9
+	Mal’cev, Protomodular, Homological and Semi-Abelian Categories	2004	Francis Borceux Dominique Bourn	9
+	Some remarks on Maltsev and Goursat categories	1993	A. Carboni G. M. Kelly Maria Cristina Pedicchio	9
+	An Algebraic Approach to Geometry	2013	Francis Borceux	7
+	Locally Presentable and Accessible Categories	1994	J. Adámek J. Rosicky	7
+	Torsion theories in homological categories	2006	Dominique Bourn Marino Gran	7
+	Diagram chasing in Mal'cev categories	1991	A. Carboni J. Lambek Maria Cristina Pedicchio	7
+	A Differential Approach to Geometry	2013	Francis Borceux	6
+ PDF Chat	FUNCTORIAL SEMANTICS OF ALGEBRAIC THEORIES	1963	F. William Lawvere	6
+	Normalization equivalence, kernel equivalence and affine categories	1991	Dominique Bourn	6
+	Basic concepts of enriched category theory	1982	G. M. Kelly	5
+	A differential approach to geometry: geometric trilogy III	2014		5
+	CHARACTERIZATION OF PROTOMODULAR VARIETIES OF UNIVERSAL ALGEBRAS	2003	Dominique Bourn George Janelidze	5
+	Mal'cev categories and fibration of pointed objects	1996	Dominique Bourn	5
+ PDF Chat	Topological semi-abelian algebras	2004	Francis Borceux Maria Manuel Clementino	4
+	An algebraic approach to geometry: geometric trilogy II	2014		4
+ PDF Chat	A course on mathematical logic	2008	John L. Bell	4
+ PDF Chat	Reflective subcategories, localizations <i>and factorizationa systems</i>	1985	Charles Cassidy M. Hébert G. M. Kelly	4
+ PDF Chat	An extension of the Galois theory of Grothendieck	1984	André Joyal Myles Tierney	4
+ PDF Chat	A notion of limit for enriched categories	1975	Francis Borceux G. M. Kelly	4
+	An Axiomatic Approach to Geometry	2013	Francis Borceux	4
+	Galois theory and a general notion of central extension	1994	George Janelidze G. M. Kelly	4
+	Modules over commutative regular rings	1967	R. S. Pierce	3
+	Reports of the Midwest Category Seminar I	1967	Jean Bénabou Richard A. Davis Albrecht Dold John Isbell Saunders MacLane Ulrich Oberst Jan-Erik Roos	3
+	Arithmetical categories and commutator theory	1996	Maria Cristina Pedicchio	3
+ PDF Chat	Théorie des Topos et Cohomologie Etale des Schémas	1972	J. L. Verdier B. Saint-Donat Alexandre Grothendieck J.-L. Verdier	3
+	On locales of localizations	1987	Francis Borceux G. M. Kelly	3
+	A characterization of quasi-toposes	1991	Francis Borceux Maria Cristina Pedicchio	3
+ PDF Chat	Torsion theories and radicals in normal categories	2005	Maria Manuel Clementino Dikran Dikranjan Walter Tholen	3
+ PDF Chat	Algebra in a Localic Topos with Applications to Ring Theory	1983	Francis Borceux Gilberte Van den Bossche	3
+	Subobject classifier for algebraic structures	1988	Francis Borceux Barbara Veit	3
+	Universal algebra in a closed category	1980	Francis Borceux Brian Day	3
+	Normal functors and strong protomodularity.	2000	Dominique Bourn	3
+ PDF Chat	Pretorsion theories in general categories	2020	Alberto Facchini Carmelo A. Finocchiaro Marino Gran	3
+	On closed categories of functors	1970	Brian Day	3
+	Protomodularity, descent, and semidirect products.	1998	Dominique Bourn George Janelidze Peter Johnstone	3
+ PDF Chat	Pretorsion theories, stable category and preordered sets	2019	Alberto Facchini Carmelo A. Finocchiaro	3
+ PDF Chat	The stable category of preorders in a pretopos I: General theory	2021	Francis Borceux Federico Campanini Marino Gran	3
+	A triple theoretic construction of compact algebras	1969	Ernest G. Manes	3
+	Central extensions and internal groupoids in Maltsev categories	2001	Marino Gran	2
+	Adjunction for enriched categories	1969	G. M. Kelly	2
+	Galois Theory and Cohomology of Commutative Rings	1978	Stephen U. Chase David K. Harrison Alex Rosenberg	2
+	Obstruction theory in algebraic categories, I	1972	Grace Orzech	2
+ PDF Chat	On Pure Quotients and Pure Subobjects	2004	Jiřı́ Adámek Jiřı́ Rosický	2
+	Small Cauchy completions	1989	Scott Johnson	2
+ PDF Chat	Kan extensions in Enriched Category Theory	1970	Eduardo J. Dubuc	2
+	Autonomous categories and duality of functors	1965	F. E. J. Linton	2
+	3×3 Lemma and Protomodularity	2001	Dominique Bourn	2
+	Les C*-algèbres et leurs représentations ..	1964	Jacques Dixmier	2