n-almost prime submodules
S Moradi, A Azizi - Indian Journal of Pure and Applied Mathematics, 2013 - Springer
Let R be a commutative ring with identity. A proper submodule N of an R-module M will be
called prime [resp. n-almost prime], if for r∈ R and a∈ M with ra∈ N [resp. ra∈ N\(N: M) n …
called prime [resp. n-almost prime], if for r∈ R and a∈ M with ra∈ N [resp. ra∈ N\(N: M) n …
[PDF][PDF] Generalizations of prime submodules
S Moradi, A Azizi - Hacettepe Journal of Mathematics and Statistics, 2015 - dergipark.org.tr
Let R be a commutative ring with identity and M a unitary R-module, and n> 1 an integer
number. As a generalization of the concept of prime submodules, a proper submodule N of …
number. As a generalization of the concept of prime submodules, a proper submodule N of …
[PDF][PDF] 2-quasi-prime submodules
FD Jasem, AA Elewi - Samarra Journal of Pure and Applied Science, 2022 - iasj.net
Accepted: 16/08/2022 Let R be a commutative ring with identity, and W be an R-module. In
This paper introduces the notion of 2-quasi prime submodules as a generalization of quasi …
This paper introduces the notion of 2-quasi prime submodules as a generalization of quasi …
[引用][C] On weakly prime submodules
F Farzalipour - Tamkang Journal of Mathematics, 2007 - airitilibrary.com
Let R be a commutative ring with non-zero identity. We define a proper submodule N of an R-
module M to be weakly prime if 0≠ rm∈ N (r∈ R, m∈ M) implies m∈ N or rM⊆ N. A …
module M to be weakly prime if 0≠ rm∈ N (r∈ R, m∈ M) implies m∈ N or rM⊆ N. A …
Almost prime and weakly prime submodules
PK Beiranvand, R Beyranvand - Journal of Algebra and Its …, 2019 - World Scientific
Let R be an arbitrary ring and M be a right R-module. A proper submodule N of M is called
almost prime (respectively, weakly prime) if for each submodule K of M and each ideal I of R …
almost prime (respectively, weakly prime) if for each submodule K of M and each ideal I of R …
[PDF][PDF] On generalizations of prime submodules
M Ebrahimpour, R Nekooei - 2013 - sid.ir
Let R be a commutative ring with identity and M be a unitary R-module. Let ϕ: S (M)→ S
(M)∪{∅} be a function, where S (M) is the set of submodules of M. Suppose n≥ 2 is a …
(M)∪{∅} be a function, where S (M) is the set of submodules of M. Suppose n≥ 2 is a …
On Unions of Prime Submodules.
F Çallıalp, Ü Tekir - Southeast Asian Bulletin of Mathematics, 2004 - search.ebscohost.com
On Unions of Prime Submodules Page 1 Southeast Asian Bulletin of Mathematics (2004) 28:
213-218 Southeast Asian Bulletin of Mathematics © SEAMS, 2004 On Unions of Prime …
213-218 Southeast Asian Bulletin of Mathematics © SEAMS, 2004 On Unions of Prime …
On weakly prime submodules
SE Atani, F Farzalipour - Tamkang Journal of Mathematics, 2007 - journals.math.tku.edu.tw
Let $ R $ be a commutative ring with non-zero identity. We define a proper submodule $ N $
of an $ R $-module $ M $ to be weakly prime if $0\not= rm\in N $($ r\in R, m\in M $) implies …
of an $ R $-module $ M $ to be weakly prime if $0\not= rm\in N $($ r\in R, m\in M $) implies …
[PDF][PDF] Some generalizations of weakly prime submodules
M Ebrahimpour - Transactions on Algebra and its Applications - scholar.archive.org
Let n≥ 2 be a positive integer, R be a commutative ring with identity and M be a unitary R-
module. In this paper we study the (n− 1, n)-weakly prime submodules, ie, a proper …
module. In this paper we study the (n− 1, n)-weakly prime submodules, ie, a proper …
[PDF][PDF] Nearly Prime submodules
NS Al-Mothafar, AJ Abdula-Al-Kalik - international Journal of …, 2015 - researchgate.net
LetR be a commutative ring with unity and let N be a submodule of anon-zero left R-module
M, N is called prime if wheneverr x∈ N, r∈ R, x∈ M, implies that either x∈ N orr∈[N: M] …
M, N is called prime if wheneverr x∈ N, r∈ R, x∈ M, implies that either x∈ N orr∈[N: M] …