AbstractWe introduce and study the notion of torsion theory in the non-abelian context of homological categories, and we investigate the properties of the corresponding closure operator. We then consider several new examples of torsion theories in the category of topological groups and, more generally, in any category of topological semi-abelian algebras. We finally characterize the hereditary torsion theories, and we analyse a new example in the homological category of crossed modules
Dedicated to Francis Borceux on the occasion of his sixtieth birthday Abstract: Observing that weak ...
Given a torsion theory (T, F) in an abelian category C, the reflector I : C → F to the torsion-free ...
In 2002 G. Janelidze, L. Márki and W. Tholen introduced semi-abelian categories. These categories pr...
We introduce and study the notion of torsion theory in the non-abelian context of homological catego...
AbstractWe introduce and study the notion of torsion theory in the non-abelian context of homologica...
For any torsion theory in a homological category, one can define a categorical Galois structure and ...
Torsion theories were originally introduced by D. Dickson to study abelian categories, and in partic...
We introduce a relativized notion of (semi)normalcy for categories that come equipped with a proper ...
AbstractFor any torsion theory in a homological category, one can define a categorical Galois struct...
We introduce a relativized notion of (semi)normalcy for categories that come equipped with a proper ...
Observing that weak heredity of regular closure operators in Top and of homological closure operator...
AbstractFor any coalgebra C, we can consider the category of all right C-comodules MC, which is an a...
The purpose of this article is to prove that the category of cocommutative Hopf K-algebras, over a f...
The purpose of this article is to prove that the category of cocommutative Hopf K-algebras, over a f...
Protoadditive functors are designed to replace additive functors in a non-abelian setting. Their pro...
Dedicated to Francis Borceux on the occasion of his sixtieth birthday Abstract: Observing that weak ...
Given a torsion theory (T, F) in an abelian category C, the reflector I : C → F to the torsion-free ...
In 2002 G. Janelidze, L. Márki and W. Tholen introduced semi-abelian categories. These categories pr...
We introduce and study the notion of torsion theory in the non-abelian context of homological catego...
AbstractWe introduce and study the notion of torsion theory in the non-abelian context of homologica...
For any torsion theory in a homological category, one can define a categorical Galois structure and ...
Torsion theories were originally introduced by D. Dickson to study abelian categories, and in partic...
We introduce a relativized notion of (semi)normalcy for categories that come equipped with a proper ...
AbstractFor any torsion theory in a homological category, one can define a categorical Galois struct...
We introduce a relativized notion of (semi)normalcy for categories that come equipped with a proper ...
Observing that weak heredity of regular closure operators in Top and of homological closure operator...
AbstractFor any coalgebra C, we can consider the category of all right C-comodules MC, which is an a...
The purpose of this article is to prove that the category of cocommutative Hopf K-algebras, over a f...
The purpose of this article is to prove that the category of cocommutative Hopf K-algebras, over a f...
Protoadditive functors are designed to replace additive functors in a non-abelian setting. Their pro...
Dedicated to Francis Borceux on the occasion of his sixtieth birthday Abstract: Observing that weak ...
Given a torsion theory (T, F) in an abelian category C, the reflector I : C → F to the torsion-free ...
In 2002 G. Janelidze, L. Márki and W. Tholen introduced semi-abelian categories. These categories pr...
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