Let $ R $ be a ring graded by a group $ G $ and $ n\geq1 $ an integer. We introduce the
notion of $ n $-FCP-gr-projective $ R $-modules and by using of special finitely copresented …

In this paper, we give some characterizations of FP-grinjective R-modules and graded right
R-modules of FP-gr-injective dimension at most n. We study the existence of FP-gr-injective …

抄録 In this paper, we give some characterizations of FP-grinjective R-modules and graded
right R-modules of FP-gr-injective dimension at most n. We study the existence of FP-gr …

Let n≥ 1 be an integer. We introduce the notions of n-FP-gr-injective and n-gr-flat modules.
Then we investigate the properties of these modules by using the properties of special …

In this article, we analyze the category GR-mod of unitary G-graded modules over object
unital G-graded rings R, being G a groupoid. Here we consider the forgetful functor U: GR …

Let $ G $ be a multiplicative group with identity $ e $, and let $ R $ be an associative $ G $-
graded ring with unity 1. In this paper we study the augmented graded Noetherian modules …

For R a G-graded ring, we study Pic (R-gr), the group of isomorphism classes of
autoequivalences of the category of graded left R-modules. For G infinite, this requires …

Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-
module. In this paper, we will introduce the concept of graded classical 2-absorbing …

Let G be a group with identity e, and let R be a G-graded commutative ring. Here we study
the graded primary submodules of a G-graded R-module and examine when graded …

Let G be a group with identity e. Let R be a G-graded commutative ring with identity and M a
graded R-module. In this paper, we introduce the concept of graded J_ e J e-primary …