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 …

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 …

Let R be a commutative ring with non-zero identity and M be a unitary R-module. Let (M) be
the set of all submodules of M, and φ:(M)→(M)∪{∅} be a function. We say that a proper …

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 …

A proper submodule P of a module M over a ring R is said to be prime if re EP for r ER and
e• M implies that either e• P or r• P: R M. In this paper we investigate the œoIIowing two …

Let $ R $ be a commutative ring with non-zero identity. We define a proper submodule $ N $
of an $ R $-module $ M $ to be weakly prime if $0\not= rm\in N $($ r\in R, m\in M $) implies …

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

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 …

Full article: On Semiprime Submodules Skip to Main Content Taylor and Francis Online homepage
Taylor and Francis Online homepage Log in | Register Cart 1.Home 2.All Journals …

Modules in which every proper submodule (resp. proper nonzero submodule) is prime
(called fully prime (almost fully prime)) and with some other related notions are fully …