Add to ORKGAbstract. We define relative regular Mal’tsev categories and give an overview of conditions which are equivalent to the relative Mal’tsev axiom. These include conditions on relations as well as conditions on simplicial objects. We also give various examples and counterexamples. 1
We prove that Mal’tsev and Goursat categories may be characterized through variations of the Shiftin...
AbstractGiven a category with a stable system of monics, one can form the corresponding category of ...
AbstractWe extend Morita theory to abelian categories by using wide Morita contexts. Several equival...
We define relative regular Mal’tsev categories and give an overview of conditions which are equivale...
Mal’tsev categories turned out to be a central concept in categorical algebra. On one hand, the simp...
AbstractA diagram chasing technique generalizing the ‘two-square’ lemma of homological algebra is ex...
AbstractWe define and investigate Maltsev operations on an arbitrary base category, and study their ...
A relative category is a category with a chosen class of weak equivalences. Barwick and Kan produced...
AbstractWe define relative Goursat categories and prove relative versions of the equivalent conditio...
This paper provides a short introduction to the notion of regular category and its use in categorica...
We prove that the category of sets equipped with a partial Mal’tsev operation is a weakly Mal’tsev c...
Relative monads are a generalisation of ordinary monads where the underlying functor need not be an ...
Relative monads are a generalisation of ordinary monads where the underlying functor need not be an ...
We define relative Goursat categories and prove relative versions of the equivalent conditions defin...
We de ne a strong relation in a category C to be a span which is \orthog- onal" to the class of joi...
We prove that Mal’tsev and Goursat categories may be characterized through variations of the Shiftin...
AbstractGiven a category with a stable system of monics, one can form the corresponding category of ...
AbstractWe extend Morita theory to abelian categories by using wide Morita contexts. Several equival...
We define relative regular Mal’tsev categories and give an overview of conditions which are equivale...
Mal’tsev categories turned out to be a central concept in categorical algebra. On one hand, the simp...
AbstractA diagram chasing technique generalizing the ‘two-square’ lemma of homological algebra is ex...
AbstractWe define and investigate Maltsev operations on an arbitrary base category, and study their ...
A relative category is a category with a chosen class of weak equivalences. Barwick and Kan produced...
AbstractWe define relative Goursat categories and prove relative versions of the equivalent conditio...
This paper provides a short introduction to the notion of regular category and its use in categorica...
We prove that the category of sets equipped with a partial Mal’tsev operation is a weakly Mal’tsev c...
Relative monads are a generalisation of ordinary monads where the underlying functor need not be an ...
Relative monads are a generalisation of ordinary monads where the underlying functor need not be an ...
We define relative Goursat categories and prove relative versions of the equivalent conditions defin...
We de ne a strong relation in a category C to be a span which is \orthog- onal" to the class of joi...
We prove that Mal’tsev and Goursat categories may be characterized through variations of the Shiftin...
AbstractGiven a category with a stable system of monics, one can form the corresponding category of ...
AbstractWe extend Morita theory to abelian categories by using wide Morita contexts. Several equival...