[PDF][PDF] Endomorphism rings and category equivalences

JL Garcia, M Saorin - Journal of Algebra, 1989 - core.ac.uk
category equivalences for the study of endomorphism rings … of S through the equivalence
between the categories R-mod … an equivalence between S-mod and a quotient category of R-…

[图书][B] Categories of modules over endomorphism rings

TG Faticoni - 1993 - books.google.com
… In [30] we show that when A is self-small the functor ha induces a category equivalence
onto the category of right E-modules. Dualities are considered in [31]. At the suggestion of …

Category-isomorphisms and endomorphism rings of modules

K Morita - Transactions of the American Mathematical Society, 1962 - JSTOR
… is commutative in the sense that the composite functors indicated by arrows are naturally
equivalent if they are defined over the same category and have values in the other same …

Category 𝒪: quivers and endomorphism rings of projectives

C Stroppel - Representation Theory of the American Mathematical …, 2003 - ams.org
… ’s description of the endomorphism ring of the antidominant … condition for an endomorphism
ring of an indecomposable … we get an equivalence of categories (see [Ba, Theorem 1.3]) …

Graded endomorphism rings and equivalences

A Marcus, C Modoi - 2003 - Taylor & Francis
… is to estabilish equivalences between categories of modules … of the equivalence,so we have
to deal with the graded ring E … on torsion theory and on graded rings and modules. In Sec. 2 …

[引用][C] An extension of a theorem on endomorphism rings and equivalences

JL Garcı́a, L Marı́n - Journal of Algebra, 1996 - Elsevier
Ž. with respect to T, F, and a quotient category of Mod-S, provided only wx Ž that C be locally
finitely generated. In his review of 1, T. Kato MR 91b:. 16009, 1991 conjectured that this last …

[HTML][HTML] On the finiteness of the derived equivalence classes of some stable endomorphism rings

J August - Mathematische Zeitschrift, 2020 - Springer
… We prove that the stable endomorphism rings of rigid objects in a suitable Frobenius category
have only finitely many basic algebras in their derived equivalence class and that these …

[PDF][PDF] The automorphism class group of the category of rings

WE Clark, GM Bergman - Journal of Algebra, 1973 - core.ac.uk
category of rings up to equivalence of functors. We shall show that the answer is yes, and that
in the case of commutative rings, … This will be an endomorphism of A as a ring, and hence …

[图书][B] Semilocal categories and modules with semilocal endomorphism rings

A Facchini - 2019 - Springer
Let R be an associative ring. This monograph deals with the right R-modules MR whose
endomorphism ring End (MR) is semilocal. More generally, let A be any preadditive category. …

[引用][C] Isomorphisms between endomorphism rings of progenerators

ML Bolla - Journal of Algebra, 1984 - Elsevier
… a category equivalence, it follows that one might better understand the isomorphisms if one
could understand better the equivalences … ’s semilinear map and our category equivalence? …