This paper presents two generalizations, one of prime submodules called S (N)− locally
prime submodules and the other of weakly prime submodules called S (N)− weakly prime …

WEAKLY PRIME SUBMODULES AND PRIME SUBMODULES Page 1 Glasgow Math. J. 48 (2006)
343–346. C 2006 Glasgow Mathematical Journal Trust. doi:10.1017/S0017089506003119 …

Abstract" In this article," we introduce the concept of a WE-Prime submodule", as a stronger
form of a weakly prime submodule. And as a" generalization of WE-Prime submodule, we …

We have introduced the notion of $\alpha $-prime and weakly $\alpha $-prime submodules
as a generalization of prime submodules. Some basic properties of $\alpha $-prime and …

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 …

Archivum Mathematicum Page 1 Archivum Mathematicum Siamak Yassemi The dual notion
of prime submodules Archivum Mathematicum, Vol. 37 (2001), No. 4, 273--278 Persistent …

The aim of this paper is to introduce the notion of nearly prime submodules as a
generalization of prime submodules. We investigate some of their basic properties and point …

Let R be a commutative ring with identity and M be a unitary R-module. Let ϕ: S (M)→ S
(M)∪{∅} be a function, where S (M) is the set of submodules of M. Suppose n≥ 2 is a …

1. Introduction Page 1 TAIWANESE JOURNAL OF MATHEMATICS Vol. 22, No. 3, pp. 545–565,
June 2018 DOI: 10.11650/tjm/171102 Primitive Submodules, Co-semisimple and Regular …

Prime Submodules and Flat Modules Page 1 Acta Mathematica Sinica, English Series Jan.,
2007, Vol. 23, No. 1, pp. 147–152 Published online: Sep. 15, 2006 DOI: 10.1007/s10114-005-0813-0 …