The study of rings and modules with homological criteria is a cornerstone of commutative
algebra. Let $ R $ be a commutative Noetherian ring with identity (not necessarily local) and …

Some descriptions of linked ideals in a commutative Notherian ring $ R $ are provided in
terms of the Associated prime ideals of $ R $. Then, among other things, we make some …

arXiv:1405.3375v2 [math.RA] 7 May 2015 Page 1 arXiv:1405.3375v2 [math.RA] 7 May 2015
GORENSTEIN DERIVED FUNCTORS FROM SPECIAL RINGS TO ARBITRARY RINGS TIWEI …

Throughout R is an associative ring with identity and all modules are unitary. Unless stated
otherwise, an R-module will be understood to be a left R-module. As usual, pdR (M) and idR …

Gillespie posed two questions in [Front. Math. China 12 (2017) 97-115], one of which states
that “for what rings R do we have K (AC)= K (R-Inj)?”. We give an answer to such a question …

Let R be a commutative Noetherian ring. The aim of this paper is studying the properties of
relative Gorenstein modules with respect to a dualizing module. It is shown that every …

arXiv:1802.06491v2 [math.AC] 7 Apr 2018 Page 1 arXiv:1802.06491v2 [math.AC] 7 Apr 2018
TRACE IDEALS AND THE GORENSTEIN PROPERTY HAYDEE LINDO AND NINA PANDE …

EXISTENCE OF TOTALLY REFLEXIVE MODULES VIA GORENSTEIN HOMOMORPHISMS
tion S-+ S/(xt,··· ,xn) ~ R, with Xt, ··· ,xn an S-reg Page 1 JOURNAL OF COMMUTATIVE …

This paper generalize the idea of the authors in J. Pure Appl. Algebra 210 (2007) 437–445.
Namely, we define and study a particular case of Gorenstein projective modules. We …

One of the open problems in Gorenstein homological algebra is: when is the class of
Gorenstein injective modules closed under arbitrary direct limits? It is known that if the class …