[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-…
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 …
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 …
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]) …
ring of an indecomposable … we get an equivalence of categories (see [Ba, Theorem 1.3]) …
[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 …
finitely generated. In his review of 1, T. Kato MR 91b:. 16009, 1991 conjectured that this last …
[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 …
in the case of commutative rings, … This will be an endomorphism of A as a ring, and hence …
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 …
have only finitely many basic algebras in their derived equivalence class and that these …
Matlis category equivalences for a ring epimorphism
S Bazzoni, L Positselski - Journal of Pure and Applied Algebra, 2020 - Elsevier
… Generalizing Matlis' classical result, we also show that, under a mild assumption on an
epimorphism of commutative rings u : R ⟶ U , the ring R of endomorphisms of the complex R ⟶ U …
epimorphism of commutative rings u : R ⟶ U , the ring R of endomorphisms of the complex R ⟶ U …
[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. …
endomorphism ring End (MR) is semilocal. More generally, let A be any preadditive category. …
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- semilocal endomorphism rings
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- endomorphism rings categories of modules
- endomorphism rings principal ideal domains
- endomorphism rings extension of a theorem
- category equivalences linear groups
- associative rings morita equivalence
- endomorphism rings direct sum decompositions
- category of rings automorphism class group
- endomorphism rings of projective modules
- endomorphism rings quasiprojective modules
- rings of modules category isomorphisms
- category equivalences algebraic rings
- category equivalences fuzzy rings
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- category equivalences finite rings