On weakly prime submodules

SE Atani, F Farzalipour - Tamkang Journal of Mathematics, 2007 - journals.math.tku.edu.tw
… Also, weakly primary ideals in a commutative ring with non-zero identity have been introduced
and studied in [5]. Here we study weakly prime submodules … for weakly prime submodules

[PDF][PDF] Weakly prime modules

M Behboodi, H Koohy - Vietnam J. Math, 2004 - math.ac.vn
… of prime submodule and call it weakly prime submodule. A … article is to investigate weakly
prime submodules over a ring … if its prime submodules and its weakly prime submodules are …

[PDF][PDF] On prime and weakly prime submodules

A Azizi - Vietnam J. Math, 2008 - Citeseer
Weakly prime submodules also have been studied in [2, 4, 5]. If we consider R as an R-module,
then prime submodules and weakly prime submodules are exactly prime ideals of R. For …

Almost prime and weakly prime submodules

PK Beiranvand, R Beyranvand - Journal of Algebra and Its …, 2019 - World Scientific
… It is clear that every prime submodule of a module is almost prime. In Sec. 2, we give some
… concepts “prime submodules”, “weakly prime submodules” and “almost prime submodules” …

Weakly prime submodules and prime submodules

A Azizi - Glasgow Mathematical Journal, 2006 - cambridge.org
… In this paper we will study weakly prime submodules and we shall compare weakly prime
submodules with prime submodules. … If we consider R as an R-module, then prime …

S-prime and S-weakly prime submodules

EA Ugurlu - arXiv preprint arXiv:2005.08733, 2020 - arxiv.org
weakly prime submodule as following: A proper submodule N of an R-module M is said to be
S-weakly prime submodule … , every S-prime submodule is an S-weakly prime submodule. In …

[PDF][PDF] 2-Absorbing and n-Weakly Prime Submodule

S Moradi, A Azizi - Miskolc Mathematical Notes, 2012 - mat76.mat.uni-miskolc.hu
weakly prime submodules, which have been studied in [3, 4, 6, 7]. We will study 2-absorbing
and nweakly prime submodules in … study two generalizations of weakly prime submodules. …

Weakly classical prime submodules

H Mostafanasab, U Tekir, KH Oral - arXiv preprint arXiv:1505.06730, 2015 - arxiv.org
Weakly prime submodules were introduced by Ebrahimi … A proper submodule N of M is called
weakly prime if for a ∈ R … A proper submodule N of M is called a classical prime submodule

On weakly S-prime submodules

HA Khashan, EY Celikel - arXiv preprint arXiv:2110.14639, 2021 - arxiv.org
submodules. Following [7], a proper submodule N of M is said to be weakly prime if for r ∈ R
… In proving that S−1N is a weakly prime submodule of S−1M we do not need the assumption …

[PDF][PDF] ON (n-1; n)-phi-m-PRIME AND (n-1; n)-WEAKLY PRIME SUBMODULES

M Ebrahimpour, F Mirzaee - Journal of Algebraic Systems, 2018 - jas.shahroodut.ac.ir
weakly prime submodule is just weakly prime. In studying unique factorization domains,
Bhatwadekar and Sharma [8] defined an almost prime … [x] is a weakly prime submodule of M. We …