The purpose of this paper is to introduce and study a Hom-type generalization of rings. We
provide their basic properties and and some key constructions. Furthermore, we consider …

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 …

Let R be a ring with an identity and, for a left Λ-module RM, pd (M) and ίd (M) denote the
projective and injective dimension of RM, respectively. A (left and right) noether ring R is …

In this paper, we introduce and study the class of $\phi $-$ w $-flat modules which are
generalizations of both $\phi $-flat modules and $ w $-flat modules. The $\phi $-$ w $-weak …

In this paper, we introduce a new concept named the weak graded rings and modules. We
construct a graded ring R using a set G of cosets representatives for the left action of a …

Let S be a commutative local ring of characteristic p, which is not a~ field, S* the
multiplicative group of S, W a subgroup of S*, G a finite p-group, and $ S^{λ} G $ a twisted …

An n-FC ring is a left and right coherent ring whose left and right self-FP-injective dimension
is n. The work of Ding and Chen shows that these rings possess properties which generalize …

This paper is devoted to introducing and studying two concepts, σ-skew strongly M-reflexive
and σ-skew strongly M-nil-reflexive on monoid rings, which are generalizations of strongly M …

COHERENT RINGS AND GORENSTEIN YOKE MODULES Page 1 Journal of Algebra and
Its Applications Vol. 11, No. 2 (2012) 1250028 (8 pages) c© World Scientific Publishing …