We provide the notion of strongly semiprime submodules of a given right $ R $-module $ M
$ and describe properties of them as a generalization of completely semiprime ideals in …

In this article, we introduce the dual notions of strongly prime, weakly prime, semiprime, and
primal submodules, that is, strongly second, weakly second, semisecond, and secondal …

Let M be an R-module. If for every submodule N of M, there exists an element r∈ R such that
N= rM, then we say that M is a principal ideal multiplication module. In this paper, the …

In this paper, we study S-Principal ideal multiplication modules. Let A be a commutative ring
with 1≠ 0, S⊆ A a multiplicatively closed set and M an A-module. A submodule N of M is …

Let R be a commutative ring with unity. And let E be a unitary R-module. This paper
introduces the notion of 2-prime submodules as a generalized concept of 2-prime ideal …

Let $ R $ be a commutative ring with a non-zero identity, $ S $ be a multiplicatively closed
subset of $ R $ and $ M $ be a unital $ R $-module. In this paper, we define a submodule …

ON THE DUAL NOTION OF PRIME RADICALS OF SUBMODULES Page 1 Asian-European
Journal of Mathematics Vol. 6, No. 2 (2013) 1350024 (11 pages) c© World Scientific Publishing …

Inspired by the interplay between the Zariski topology defined on the prime spectrum of a
commutative ring R and the ring theoretic properties of R in [3, 8, 18, 23, 25], we introduce in …

Let R be a commutative ring with identity and M a unitary R-module. Some properties of
prime submodules of an R-module M have been discussed. In this paper, we investigate the …

PRIMAL SUBMODULES OF MULTIPLICATION MODULES S. EBRAHIMI ATANI AND A.
YOUSEFIAN DARANI 1. Introduction Throughout this paper all Page 1 TAMKANG JOURNAL OF …