[PDF][PDF] Topics in prime submodules and other aspects of the prime avoidence theorem
J Azami, M Khajepour - Preprint (Mathematical Reports), 2019 - imar.ro
Throughout this paper, let R be a commutative ring (with identity) and M be a unital R-
module. A proper submodule N of M with N: RM= p is said to be prime or p-prime (pa prime …
module. A proper submodule N of M with N: RM= p is said to be prime or p-prime (pa prime …
Weakly -submodules of modules over commutative rings
HA Khashan, E Yetkin Celikel - Asian-European Journal of …, 2023 - World Scientific
Let R be a commutative ring with identity and M be a unitary R-module. By J (R), we denote
the Jacobson radical of R. The purpose of this paper is to introduce the concept of weakly J …
the Jacobson radical of R. The purpose of this paper is to introduce the concept of weakly J …
On the prime radical of a module over a noncommutative ring
F Callialp, U Tekir - Taiwanese Journal of Mathematics, 2004 - projecteuclid.org
Let $ R $ be a ring and $ M $ a left $ R-$ module. The radical of $ M $ is the intersection of
all prime submodules of $ M. $ It is proved that if $ R $ is a hereditary, noetherian, prime and …
all prime submodules of $ M. $ It is proved that if $ R $ is a hereditary, noetherian, prime and …
[PDF][PDF] On minimal prime submodules
M Behboodi, H Koohy - Far East Journal of Mathematical …, 2002 - researchgate.net
It is shown that if every prime ideal minimal over an ideal I is finitely generated, then there
are only finitely many prime left ideals minimal over I. This immedeately generalizes Cohen's …
are only finitely many prime left ideals minimal over I. This immedeately generalizes Cohen's …
On reduced modules and rings
MB Rege, AM Buhphang - International electronic journal of Algebra, 2008 - dergipark.org.tr
In this paper we extend several results known for reduced rings to reduced modules. We
prove that for a semiprime module or a module with zero Jacobson radical, the concepts of …
prove that for a semiprime module or a module with zero Jacobson radical, the concepts of …
[PDF][PDF] On graded second modules
H Ansari-Toroghy, F Farshadifar - Tamkang journal of …, 2012 - journals.math.tku.edu.tw
ON GRADED SECOND MODULES Page 1 TAMKANG JOURNAL OF MATHEMATICS Volume
43, Number 4, 499-505, Winter 2012 doi:10.5556/j.tkjm.43.2012.499-505 - + +- - - - - Available …
43, Number 4, 499-505, Winter 2012 doi:10.5556/j.tkjm.43.2012.499-505 - + +- - - - - Available …
On (k, n)-closed submodules
EY Celikel - arXiv preprint arXiv:1604.07656, 2016 - arxiv.org
arXiv:1604.07656v1 [math.AC] 26 Apr 2016 Page 1 arXiv:1604.07656v1 [math.AC] 26 Apr 2016
ON (k, n)-CLOSED SUBMODULES ECE YETKIN CELIKEL Abstract. Let R be a commutative ring …
ON (k, n)-CLOSED SUBMODULES ECE YETKIN CELIKEL Abstract. Let R be a commutative ring …
On weakly prime radical of modules and semi-compatible modules
M Behboodi - Acta Mathematica Hungarica, 2006 - Springer
Let M be a left R-module. Then a proper submodule P of M is called weakly prime
submodule if for any ideals A and B of R and any submodule N of M such that ABN⊆ P, we …
submodule if for any ideals A and B of R and any submodule N of M such that ABN⊆ P, we …
Classical and strongly classical -absorbing second submodules
S Khojasteh - Journal of Algebra and Related Topics, 2022 - jart.guilan.ac.ir
Let $ R $ be a commutative ring with identity and $ M $ be an $ R $-module. The main
purpose of this paper is to introduce and investigate the notion of classical and strongly …
purpose of this paper is to introduce and investigate the notion of classical and strongly …