Pure-direct-injective modules

SK Maurya, S Das, Y Alagöz - Lobachevskii Journal of Mathematics, 2022 - Springer
In this paper, we study the class of modules having the property that if any pure submodule
is isomorphic to a direct summand of such a module then the pure submodule is itself a …

Characterizations of Ding injective complexes

G Yang, S Estrada - Bulletin of the Malaysian Mathematical Sciences …, 2020 - Springer
Let R be a ring and X a chain complex of R-modules. It is proven that if each term X_i X i is
Ding injective in R-Mod for all i ∈ Z i∈ Z, and there exists an integer k such that each Z _iX …

Homological characterizations of almost Dedekind domains

D Zhou, H Kim, F Wang, K Hu - Journal of Algebra and Its …, 2020 - World Scientific
Let R be a commutative ring. In this paper, a class of almost projective modules is
introduced. An R-module M is said to be almost projective if Ext R 1 (M, N)= 0 for any R 𝔪 …

On -semiregular and -semiregular rings

D Bennis, F Couchot - Journal of Algebra and Its Applications, 2021 - World Scientific
In this paper, we are mainly interested in the two questions “which are the commutative rings
on which every finitely presented modules is 1-periodic (respectively, 2-periodic)?”. It is …

[图书][B] Definable subcategories of maximal Cohen-Macaulay modules

I Bird - 2020 - search.proquest.com
We investigate extensions to the class of maximal Cohen-Macaulay modules over Cohen-
Macaulay rings from the viewpoint of definable subcategories. We pay particular attention to …