D. Bourn

发表

The shift functor and the comprehensive factorization for internal groupoids

D. Bourn, 1987 .

n-Groupoids from n-truncated simplicial objects as a solution to a universal problem

D. Bourn, 2000 .

The Structural Nature of the Nerve Functor for n-Groupoids

D. Bourn, 2000 .

Polyhedral monadicity of n-groupoids and standardized adjunction

D. Bourn, 1995 .

Categorical and topological aspects of semi-abelian theories

D. Bourn, 2007 .

A general formulation of homotopy limits

D. Bourn, Jean-Marc Cordier, 1983 .

The $3 \times 3$ lemma in the $\Sigma$-Mal’tsev and $\Sigma$-protomodular settings: Applications to monoids and quandles

D. Bourn, A. Montoli, 2018, Homology, Homotopy and Applications.

THE 3 × 3 LEMMA IN THE Σ-MAL’TSEV AND Σ-PROTOMODULAR SETTINGS. APPLICATIONS TO MONOIDS AND QUANDLES

G. Janelidze, D. Bourn, A. Montoli, 2019 .

Cohomology without projectives

D. Bourn, Diana Rodelo, 2007 .

Aspherical abelian groupoids and their directions

D. Bourn, 2002 .

3 × 3 Lemma and Protomodularity

D. Bourn, 2001 .

Intrinsic Schreier-Mac Lane extension theorem II: The case of action accessible categories

D. Bourn, A. Montoli, 2012 .

Centralizer and faithful groupoid

D. Bourn, 2011 .

Mal'cev, Protomodular, Homological and Semi-Abelian Categories

Dominique Bourn, Francis Borceux, F. Borceux, 2004 .

Extensions of symmetric cat-groups

D. Bourn, E. Vitale, 2002 .

Another denormalization theorem for abelian chain complexes

D. Bourn, 1990 .

Pseudofunctors and non-abelian weak equivalences

D. Bourn, 1988 .

The denormalized 3×3 lemma

D. Bourn, 2003 .

SUPREMA OF EQUIVALENCE RELATIONS AND NON-REGULAR GOURSAT CATEGORIES

D. Bourn, 2018 .

On the Cocartesian Image of Preorders and Equivalence Relations in Regular Categories

Dominique Bourn, D. Bourn, 2021, Applied Categorical Structures.

Split epimorphisms as a productive tool in Universal Algebra

D. Bourn, 2020, Algebra universalis.

On the Naturalness of Mal’tsev Categories

D. Bourn, Pierre-Alain Jacqmin, M. Gran, 2019, 1904.06719.

A NOTE ON THE CATEGORICAL NOTIONS OF NORMAL SUBOBJECT AND OF EQUIVALENCE CLASS

D. Bourn, G. Metere, Bob Rosebrugh, 2021 .

A NOTE ON THE CATEGORICAL CONGRUENCE DISTRIBUTIVITY

D. Bourn, 2019 .

Congruence Distributivity in Goursat and Mal’cev Categories

Dominique Bourn, D. Bourn, 2005, Appl. Categorical Struct..

Fibration of points and congruence modularity

D. Bourn, 2005 .

Mal'cev categories and fibration of pointed objects

Dominique Bourn, D. Bourn, 1996, Appl. Categorical Struct..

Categorical aspects of modularity

Dominique Bourn, Marino Gran, D. Bourn, 2004 .

CHARACTERIZATION OF PROTOMODULAR VARIETIES OF UNIVERSAL ALGEBRAS

G. Janelidze, D. Bourn, 2003 .

Normalization equivalence, kernel equivalence and affine categories

D. Bourn, 1991 .

Algebraic logoi

A. S. Cigoli, D. Bourn, J. Gray, 2021, Journal of Pure and Applied Algebra.

A structural aspect of the category of quandles

D. Bourn, 2015 .

Aspects of the category SKB of skew braces

D. Bourn, A. Facchini, M. Pompili, 2022, Communications in Algebra.

On congruence modular varieties and Gumm categories

Dominique Bourn, D. Bourn, 2021, Communications in Algebra.

Intrinsic centrality and associated classifying properties

D. Bourn, 2002 .

A categorical genealogy for the congruence distributive property.

D. Bourn, 2001 .

Aspects of algebraic exponentiation

D. Bourn, J. Gray, 2011, 1112.4128.

The cohomological comparison arising from the associated abelian object

D. Bourn, 2010, 1001.0905.

Schreier split epimorphisms in monoids and in semirings

D. Bourn, A. Montoli, M. Sobral, 2013 .

Centralizers in action accessible categories

G. Janelidze, D. Bourn, 2009 .

Commutator Theory in Strongly Protomodular Categories

D. Bourn, 2004 .

Protomodularity, descent, and semidirect products.

G. Janelidze, P. Johnstone, D. Bourn, 1998 .

Baer sums in homological categories

D. Bourn, 2007 .

Central extensions in semi-abelian categories

D. Bourn, M. Gran, 2002 .

Central reflections and nilpotency in exact Mal’tsev categories

C. Berger, D. Bourn, 2016, Journal of Homotopy and Related Structures.

Central reflections and nilpotency in exact Mal’tsev categories

C. Berger, D. Bourn, 2015, 1511.00824.

Natural anadeses and catadeses

Dominique Bourn, D. Bourn, 1973 .

A Note on the Abelianization Functor

D. Bourn, Z. Janelidze, 2016 .

Pointed protomodularity via natural imaginary subtractions

D. Bourn, Z. Janelidze, 2009 .

Normal subobjects of topological groups and of topological semi-Abelian algebras

D. Bourn, 2006 .

A characterisation of the "Smith is Huq" condition in the pointed Mal'tsev setting

D. Bourn, N. Martins-Ferreira, T. Linden, 2013 .

Extensions with Abelian Kernels in Protomodular Categories

G. Janelidze, D. Bourn, 2004 .

CENTRALITY AND NORMALITY IN PROTOMODULAR CATEGORIES

Dominique Bourn, Marino Gran, D. Bourn, 2002 .

The tower of n-groupoids and the long cohomology sequence

D. Bourn, 1989 .

A canonical action on indexed limits an application to coherent homotopy

D. Bourn, 1982 .

Initial normal covers in bi-Heyting toposes

P. Johnstone, F. Borceux, D. Bourn, 2006 .

Centrality and connectors in Maltsev categories

Dominique Bourn, Marino Gran, D. Bourn, 2002 .

Split extension classifier and centrality

F. Borceux, D. Bourn, 2005 .

Normal Subobjects and Abelian Objects in Protomodular Categories

D. Bourn, 2000 .

Subtractive Categories and Extended Subtractions

Dominique Bourn, Zurab Janelidze, D. Bourn, 2009, Appl. Categorical Struct..

Protomodular aspect of the dual of a topos

D. Bourn, 2004 .

Normal functors and strong protomodularity.

D. Bourn, 2000 .

Commutator theory, action groupoids, and an intrinsic Schreier–Mac Lane extension theorem

D. Bourn, 2008 .

Extracting a $$\Sigma $$Σ-Mal’tsev ($$\Sigma $$Σ-Protomodular) Structure from a Mal’tsev (Protomodular) Subcategory

Dominique Bourn, D. Bourn, 2019, Appl. Categorical Struct..

Extracting a 6 -Mal’tsev ( 6 -Protomodular) Structure from a Mal’tsev (Protomodular) Subcategory

D. Bourn, 2019 .

Monoids and pointed $S$-protomodular categories

D. Bourn, N. Martins-Ferreira, A. Montoli, 2016 .

Regular, Protomodular and Abelian Categories

D. Bourn, M. Gran, 2004 .