For a finitely generated module M over a commutative Noetherian ring R, we settle the
Auslander–Reiten conjecture when at least one of Hom R (M, R) and Hom R (M, M) has …

We analyze whether Ulrich modules, not necessarily maximal CM (Cohen-Macaulay), can
be used as test modules, which detect finite homological dimensions of modules. We prove …

In this paper we consider a question of Roger Wiegand, which is about tensor products of
finitely generated modules that have finite projective dimension over commutative …

The aim of this article is to consider the spectral sequences induced by tensor-hom
adjunction, and provide a number of new results. Let R be a commutative Noetherian local …

We show that every integrally closed m-primary ideal I in a commutative Noetherian local
ring (R, m, k) has maximal complexity and curvature, ie, cx R (I)= cx R (k) and curv R (I)= curv …

Let R be a d-dimensional Cohen–Macaulay (CM) local ring of minimal multiplicity. Set S:=
R/(f), where f:= f1,..., fc is an R-regular sequence. Suppose M and N are maximal CM S …

Let R be a Cohen–Macaulay local ring. We prove that the n th syzygy module of a maximal
Cohen–Macaulay R-module cannot have a semidualizing direct summand for every n≥ 1 …

arXiv:2210.08691v1 [math.RA] 17 Oct 2022 Page 1 arXiv:2210.08691v1 [math.RA] 17 Oct
2022 HOMOLOGICAL DIMENSIONS OF THE JACOBSON RADICAL XIAO-WU CHEN …

A study of some special rings by delta invariant Page 1 Rend. Mat. Appl. (7). Volume 42 (2021),
163 – 175 Rendiconti DI Matematica E DELLE SUE Applicazioni A study of some special rings …

Let $(R,\mathfrak {m}) $ be a commutative Noetherian local ring which contains a regular
sequence $\underline {x}= x_1,\ldots, x_d\in\mathfrak {m}\smallsetminus\mathfrak {m}^ 2 …