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While this paper was in preparation, semiabelian categories were introduced in [6]; we repeat from [6] that a variety of universal algebras is semiabelian if and only if it is
Precise classification theorems are therefore stated for equivariant extensions by groups either of monoids, or groups, or rings, or rings-groups or algebras as well as for graded
in [Baues & Jibladze 2002] it was proved that linear track extensions are essentially the same as groupoid enriched categories such that automorphism groups of all 1-arrows
In this section we translate the description of the second order direction functor and its associated cohomology groups, developed in [31] for Barr exact categories, to the context
One can find different de- scriptions (not as crossed modules) of internal categories and groupoids in groups, Mal’tsev varieties of universal algebras, congruence modular vari-
We show that every KZ- doctrine is a pseudomonad (pseudomonoid in the Gray monoid determined by an object of the Gray -category), and that the 2-categories of algebras dened
When we look at continuous categories with a small dense subcategory (in connection to the generalized powerdomain constructions), we regard as the appropriate version of the
Serra Capizzano, Korovkin theorems and linear positive Gram matrix algebras approximation of Toeplitz matrices, Linear Algebra Appl. Serra Capizzano, An ergodic theorem for classes
