PRIME SUBMODULES OF ARTINIAN MODULES Page 1 TAIWANESE JOURNAL OF
MATHEMATICS Vol. 13, No. 6B, pp. 2011-2020, December 2009 This paper is available online at …

On Locally Artinian Modules 1 Introduction Page 1 International Journal of Algebra, Vol. 6, 2012,
no. 27, 1325 - 1334 On Locally Artinian Modules Adil Kadir Jabbar Department of Mathematics …

We define and characterize classical completely prime submodules which are a
generalization of both completely prime ideals in rings and reduced modules (as defined by …

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 …

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 …

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 …

Let R be a ring and M a right R‐module. It is shown that (1) δ (M) is Noetherian if and only if
M satisfies ACC on δ‐small submodules;(2) δ (M) is Artinian if and only if M satisfies DCC on …

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 …

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 …

Let M be a module over a commutative ring A. M is said to satisfy (accr)(resp.(accr*)) if the
ascending chain of submodules of the form N: IJN: I2 J ĮĮĮ terminates for every submodule N …