Results 171 to 180 of about 888,172 (204)

A modular functor from state sums for finite tensor categories and their bimodules

Theory and Applications of Categories, 2019
We construct a modular functor which takes its values in the bicategory of finite categories, left exact functors and natural transformations. The modular functor is defined on bordisms that are 2-framed.
J. Fuchs, Gregor Schaumann, C. Schweigert   +2 more
semanticscholar   +1 more source

Exact BCK-sequence in BCK-algebra

Journal of Information and Optimization Sciences, 2020
The notion of quasi BCK-exact sequence of modules was introduced by B.Davvaz and coauthors in 1999 as a generalization of the notion of exact sequence. In 2016 S. Asawasamrit & C. Promsakon introduced Quasi-Commutative KK-algebra [14].
Seyed Mahmoud Seyedjoula, Alireza Gilani, Ehsan Arfa   +2 more
semanticscholar   +1 more source

Homological Functor H̃ _n: Comp(𝒜) ⟶ Ab Where 𝒜 Is an Abelian Category and 𝓃 Is an Integer in ℤ

American Journal of Applied Mathematics
The study of the homological functor has been carried out in particular cases of abelian categories, notably in the category of left A-modules (resp. right A-modules) and Categories of graded A-modules where A is a ring.
Ablaye Diallo
semanticscholar   +1 more source

Projective S-acts and Exact Functors

Algebra Colloquium, 2000
Let \(S\) be a semigroup possibly without 1. The standing question to characterize projective left \(S\)-acts is discussed for some further subcategories of the category \(S\)-Act of left \(S\)-acts. It is observed that, if \(n\) is a fixed natural number and \(\mathcal C\) is the subcategory of \(S\)-Act which consists of all \(S\)-acts \(M\) with ...
openaire   +1 more source

Tate–Vogel Completions of Half-Exact Functors

Algebras and Representation Theory, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

On the exactness of the completion functor

Communications in Algebra, 1980
Suppose R is a commutative Noeheian ring with maximal ideal P and E is the injective hull of R/P. The hereditary torsion theory associated with P has E has as an injective cogenerator and the associated localization is exact. Matlis [3] has shown that E Artinian.
Gary D. Crown, John J. Hutchinson
openaire   +1 more source

Asymptotic prime ideals related to exact functors

Communications in Algebra, 1999
Let I be an ideal of the commutative ring R and let denote the category of R-modules and be the subcategory of Noetherian (resp. Artinian) R-modules. Let N denote a Noetherian R-module and N' be a submodule of N. For a linear exact covariant (resp. contravriant) functor is determined and as a consequence several results concerning asymptotic prime ...
K. Divaanu-Aazar, M. Tousi
openaire   +1 more source

Exact functors, local connectedness and measurable cardinals

Rendiconti del Seminario Matematico e Fisico di Milano, 1985
The paper shows that there is an exact functor from a Grothendieck topos to a locally connected Grothendieck topos that does not preserve all (set-indexed) coproducts if and only if there is a measurable cardinal.
Adelman, Murray, Blass, Andreas
openaire   +2 more sources

Avramov–Martsinkovsky type exact sequences with tor functors

Acta Mathematica Sinica, English Series, 2017
For two classes of right R-modules W, X such that P ⊂ W ⊂ X, where P is the class of projective right R-modules, we show that there is an Avramov–Martsinkovsky type exact sequence with generalized Tate homology functor $${\widehat {Tor}^{X.W}}$$
Chun Xia Zhang, Li Liang
openaire   +1 more source

On the Stone–Čech Compactification Functor and the Normal Extensions of Monoids

Lobachevskii Journal of Mathematics, 2021
I. Berdnikov, R. Gumerov, E. Lipacheva
semanticscholar   +1 more source