Relative Gorenstein injective covers with respect to a semidualizing module

Title:

Relative Gorenstein injective covers with respect to a semidualizing module

Creator:

Tavasoli, Elham and Salimi, Maryam

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:03d6e44a-3076-4e43-abbf-7effbd2aba5c
uuid:03d6e44a-3076-4e43-abbf-7effbd2aba5c
issn:0011-4642

Subject:

matematika, mathematics, semidualizing module, Gc-flat module, Gc-injective module, cover, envelope, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

Let R be a commutative Noetherian ring and let C be a semidualizing R-module. We prove a result about the covering properties of the class of relative Gorenstein injective modules with respect to C which is a generalization of Theorem 1 by Enochs and Iacob (2015). Specifically, we prove that if for every Gc-injective module G, the character module G+ is Gc-flat, then the class GIc(R) Ac(R) is closed under direct sums and direct limits. Also, it is proved that under the above hypotheses the class GIc(R) Ac(R) is covering., Elham Tavasoli, Maryam Salimi., and Obsahuje bibliografii

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

87-95

Source:

Czechoslovak Mathematical Journal | 2017 Volume:67 | Number:1

Harvested from:

CDK

Metadata only:

false