Zobrazeno 1 - 10
of 178
pro vyhledávání: '"18A20"'
For a morphism f in a category C with sufficiently many finite limits and colimits, we discuss an elementary construction of a decomposition of f through objects P and N which, if C happens to have a zero object, amounts to the standard decomposition
Externí odkaz:
http://arxiv.org/abs/2411.03266
Effective descent morphisms, originally defined in Grothendieck descent theory, form a class of special morphisms within a category. Essentially, an effective descent morphism enables bundles over its codomain to be fully described as bundles over it
Externí odkaz:
http://arxiv.org/abs/2410.22876
Autor:
Luo, Xiu-Hua, Zhu, Shijie
Let $\Lambda$ be a finite dimensional algebra. Let $\mathcal C$ be a functorially finite exact subcategory of $\Lambda$-mod with enough projective and injective objects and $\mathcal S (\mathcal C)$ be its monomorphism category. It turns out that the
Externí odkaz:
http://arxiv.org/abs/2408.01359
Autor:
Cappelletti, Andrea, Montoli, Andrea
We show that non-pointed versions of the classical homological lemmas hold in regular protomodular categories equipped with a suitable posetal monocoreflective subcategory. Examples of such categories are all protomodular varieties of universal algeb
Externí odkaz:
http://arxiv.org/abs/2405.11038
Matrix properties are a type of property of categories which includes the ones of being Mal'tsev, arithmetical, majority, unital, strongly unital and subtractive. Recently, an algorithm has been developed to determine implications $M\Rightarrow N$ be
Externí odkaz:
http://arxiv.org/abs/2404.14166
A quasivariety has the weak ES property when the epimorphisms between its finitely generated members are surjective. A characterization of quasivarieties with the weak ES property is obtained and a method for detecting failures of this property in qu
Externí odkaz:
http://arxiv.org/abs/2402.14745
Pursuing a new approach to the study of infinite games in combinatorics, we introduce the categories $\mathbf{Game}_{{A}}$ and $\mathbf{Game}_{{B}}$ and provide novel proofs of some classical results concerning topological games related to the dualit
Externí odkaz:
http://arxiv.org/abs/2401.03484
We characterize effective descent morphisms of what we call filtered preorders, and apply these results to slightly improve a known result, due to the first author and F. Lucatelli Nunes, on the effective descent morphisms in lax comma categories of
Externí odkaz:
http://arxiv.org/abs/2312.14315
Autor:
Janelidze, George, Sobral, Manuela
By a closure space we will mean a pair $(A,\mathcal{C})$, in which $A$ is a set and $\mathcal{C}$ a set of subsets of $A$ closed under arbitrary intersections. The purpose of this paper is to initiate a development of descent theory of closure spaces
Externí odkaz:
http://arxiv.org/abs/2310.16636
Autor:
Bottegoni, Lucrezia
The notion of semifunctor between categories, due to S. Hayashi (1985), is defined as a functor that does not necessarily preserve identities. In this paper we study how several properties of functors, such as fullness, full faithfulness, separabilit
Externí odkaz:
http://arxiv.org/abs/2310.00502