In this research note approximately prime submodules is defined as a new generalization of
prime submodules of unitary modules over a commutative ring with identity. A proper …

Czechoslovak Mathematical Journal Page 1 Czechoslovak Mathematical Journal Yücel Tiraş;
Abdullah Harmanci On prime submodules and primary decomposition Czechoslovak …

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 …

In this paper, we investigate some properties of SIP, SSP and CS-Rickart modules. We give
equivalent conditions for SIP and SSP modules; establish connections between the class of …

In this article, we introduce the notion of strongly 𝜋-regular module which is a generalization
of von Neumann regular module in the sense [13]. Let 𝐴 be a commutative ring with 1≠ 0 …

In this work, impecunious modules are introduced as modules whose injectivity domains are
contained in the class of all pure-split modules. This notion gives a generalization of both …

Archive of SID www.SID.ir Page 1 Iranian Journal of Mathematical Sciences and Informatics
Vol. 12, No. 1 (2017), pp 153-161 DOI: 10.7508/ijmsi.2017.01.012 On Graded Weakly …

It is of obvious interest to know whether an algebraic property of modules is preserved by
direct sums of such modules. In this paper we provide a survey of this question for various …

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

, E (M))= 0, where E (M) is the injective hull of M. Rational submodules have been studied
and discussed by many authors such as HH Storrer, H. Khabazian, E. Ghashghaei, A …