Let n⩾ 1 and k⩾ 0 be fixed integers and R be a ring. We show that R is (n, k)-SG with G‐
gldim (R)= k if and only if R [x 1, x 2,…, xm] is (n, k+ m)-SG with G‐gldim (R [x 1, x 2,…, xm]) …

Some results about the representation of dg seminear-rings are given. While not all dg
seminear-rings are faithful, it seems that there are conditions under which the dg seminear …

0. Introduction Let R be a commutative ring with identity. An ideal I in R isa multiplication
ideal if every ideal contained in I isa multiple of I. In this paper we generalize G-GCD …

Introduction. Throughout the paper, M stands for a F-ring, as defined by Barnes [1]. We shall
utilize thestandard notations and definitions in Barnes [1] and Hsu [2]. In [2] Hsu has …

In this paper, we provide various properties of GE and GEE-modules, a new variation of
injective modules. We call M a GE-module if it has a g-supplement in every extension N and …

The rings considered in this paper are commutative with identity and the modules
considered here are modules over commutative rings and are unitary. Let R be a ring and let …

S − CS Modules and Rings Page 1 International Journal of Algebra, Vol. 7, 2013, no. 2, 49 - 62
HIKARI Ltd, www.m-hikari.com S − CS Modules and Rings Nasr A. Zeyada King Faisal University …

Let R be a ring. An R-module M is said to satisfy property (S) if every surjective
endomorphism of M is an automorphism. Let FR be the class of finitely generated R-module …

The main purpose of this paper is to study when a (T, I, D) construction ring is a stably strong
S-ring. This allows us to generalize and improve some known results and to discover new …

Let S be a multiplicative set in an integral domain D. A nonzero ideal I of D is said to be S-υ-
principal if there exist an s∈ S and a∈ D such that s I⊆ a D⊆ I υ. Call D an S-GCD domain …