On n-absorbing submodules

AY Darani, F Soheilnia - Mathematical Communications, 2012 - hrcak.srce.hr
Sažetak All rings are commutative with identity, and all modules are unital. The purpose of
this article is to investigate n-absorbing submodules. For this reason we introduce the …

On almost prime submodules

HA Khashan - Acta Mathematica Scientia, 2012 - Elsevier
In this article, we define almost prime submodules as a new generalization of prime and
weakly prime submodules of unitary modules over a commutative ring with identity. We …

[PDF][PDF] Generalizations of primary ideals and submodules

M Bataineh, S Kuhail - International journal of contemporary …, 2011 - academia.edu
Let R be a commutative ring with identity and all modules are unital. Various generalizations
of primary ideals and primary modules have been studied. For example, a proper ideal I of R …

Zariski topology on the spectrum of graded classical prime submodules

AY Darani, S Motmaen - Applied general topology, 2013 - polipapers.upv.es
Let $ R $ be a $ G $-graded commutative ring with identity and let $ M $ be a graded $ R $-
module. A proper graded submodule $ N $ of $ M $ is called graded classical prime if for …

On graded classical primary submodules

K Al-Zoubi, M Al-Dolat - Advances in pure and applied mathematics, 2016 - degruyter.com
On graded classical primary submodules Page 1 Adv. Pure Appl. Math. ; ( ): – Research
Article Khaldoun Al-Zoubi* and Mohammed Al-Dolat On graded classical primary …

Classical quasi-primary submodules

M Behboodi, NR JAHANI, MH Naderi - 2011 - sid.ir
In this paper we introduce the notion of classical quasi PRIMARY submodules that
generalizes the concept of classical PRIMARY submodules. Then, we investigate …

[HTML][HTML] On almost semiprime submodules

F Farzalipour - Algebra, 2014 - hindawi.com
We introduce the concept of almost semiprime submodules of unitary modules over a
commutative ring with nonzero identity. We investigate some basic properties of almost …

ON 𝜙-SEMIPRIME SUBMODULES

M Ebrahimpour, F Mirzaee - Journal of the Korean Mathematical …, 2017 - koreascience.kr
Let R be a commutative ring with non-zero identity and M be a unitary R-module. Let S (M)
be the set of all submodules of M and ${\phi}: S (M){\rightarrow} S (M){\cup}\{{\emptyset}\} …

Baer's lower nilradical and classical prime submodules

E Yılmaz, S Kılıçarslan Cansu - Bulletin of the Iranian …, 2014 - bims.iranjournals.ir
Let $ N $ be a submodule of a module $ M $ and a minimal primary decomposition of $ N $
is known‎.‎ A formula to compute Baer's lower nilradical of $ N $ is given‎.‎ The relations …

I-prime submodules

I Akray, HS Hussein - Acta Mathematica Academiae Paedagogicae …, 2017 - real.mtak.hu
Acta Mathematica Academiae Paedagogicae Nyıregyháziensis 33 (2017), 165–173 www.emis.de/journals
ISSN 1786-0091 I-PRIME SUBM Page 1 Acta Mathematica Academiae Paedagogicae …