The acyclic closure of an exact category and its triangulation

W Rump - Journal of Algebra, 2021 - Elsevier
For any exact category A with splitting idempotents, a maximal exact category T (A)
containing A as a biresolving subcategory, is constructed. Important types of exact …

Resolving subcategories whose finitely presented module categories are abelian

R Takahashi - Comptes Rendus. Mathématique, 2021 - numdam.org
Let X be an additive full subcategory of an abelian category. It is a classical fact that if X is
contravariantly finite, then the category modX of finitely presented right X-modules is …

Generation in Module Categories and Derived Categories of Commutative Rings

R Takahashi - Commutative Algebra: Expository Papers Dedicated to …, 2021 - Springer
Let R be a ring, and let M, N be R-modules. It is a natural question to ask whether or how
one can build M out of N by iteration of fundamental operations such as direct sums, direct …

Existence and Constructions of Totally Reflexive Modules

A Vraciu - Commutative Algebra: Expository Papers Dedicated to …, 2021 - Springer
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Totally Reflexive Modules Over Connected Sums with

A Vraciu - Journal of Commutative Algebra, 2021 - projecteuclid.org
Totally Reflexive Modules Over Connected Sums with m3 =0 Page 1 J CA JOURNAL OF
COMMUTATIVE ALGEBRA Volume 13 (2021), No. 4, 571–582 DOI: 10.1216 / jca.2021.13.571 c …