E-viri
Recenzirano
-
Mousavi, Seyed Shahin; Abbaszade, Mina
Communications in algebra, 04/2018, Letnik: 46, Številka: 4Journal Article
For any module M, the smallest subcategory of R-modules which is a Grothendieck category and contains M is the category σM. In this article, by introducing two classes of R-modules under the titles Formula omitted. -modules and Σn-modules, the notions σ-projective and σ-injective dimension in the category σM have been defined and studied. The relationships between these notions and the corresponding notions defined in the category of R-modules have been investigated. Also, σ-global dimension is defined and some of its properties have been studied.
