Over a commutative Noetherian ring, we show that Auslander-Reiten conjecture holds true
for the class of (finitely generated) modules whose dual has finite complete intersection …

We search for some splitting (resp. finiteness) criteria of a given module $ M $ over a local
ring $(R,\fm, k) $ in terms of the splitting (resp. finiteness) property of certain cohomological …

We establish a prescribed upper bound for the projective dimension of a finitely generated
module over a Cohen-Macaulay local ring (with canonical module) satisfying certain …

VANISHING OF EXT MODULES OVER COHEN–MACAULAY RINGS 1. Introduction We refer
the reader to [10] (arXiv:2106.08583) for details Page 1 VANISHING OF EXT MODULES OVER …

Let (R, m) be a local ring and C be a semidualizing module such that C≅ Hom R (M, R) for
some finitely generated R-module M. We study some properties of M and C. It is shown that …

Let R be a commutative noetherian ring. Denote by mod R the category of finitely generated
R-modules. In the present paper, we introduce the notion of solid subcategories of mod R …

Let R be a commutative noetherian ring. In this article, we find out close relationships
between the module M being embedded in a module of projective dimension at most n and …

Neste trabalho, inicialmente estabelecemos propriedades estruturais do anel produto fibra
RXTS, onde R, S e T são anéis locais noetherianos com o mesmo corpo residual. Mais …

For a commutative Noetherian ring R of prime characteristic, denote by f R the ring R with
the left structure given by the Frobenius map. We develop Thomas Marley's work on the …