[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 …
φ-prime submodules
N Zamani - Glasgow mathematical journal, 2010 - cambridge.org
Let R be a commutative ring with non-zero identity and M be a unitary R-module. Let (M) be
the set of all submodules of M, and φ:(M)→(M)∪{∅} be a function. We say that a proper …
the set of all submodules of M, and φ:(M)→(M)∪{∅} be a function. We say that a proper …
[PDF][PDF] φ-prime submodules
A Khaksari, A Jafari - Int. J. Algebra, 2011 - m-hikari.com
Let R be a commutative ring with identity and M be a unitary R-module. Various
generalizations of prime submodules have been studied. Let φ: τ (M)−→ τ (M)∪{ø} be a …
generalizations of prime submodules have been studied. Let φ: τ (M)−→ τ (M)∪{ø} be a …
[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 …
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 …
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 …
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}\} …
be the set of all submodules of M and ${\phi}: S (M){\rightarrow} S (M){\cup}\{{\emptyset}\} …
[PDF][PDF] Primary-like submodules satisfying the primeful property
HF Moghimi, F Rashedi - Transactions on Algebra and its …, 2015 - scholar.archive.org
Let R be a commutative ring with identity and M be an R-module. As a new generalization of
primary ideals to modules, a proper submodule N of M is a primary-like submodule if …
primary ideals to modules, a proper submodule N of M is a primary-like submodule if …
n-submodules
M Ahmadi, J Moghaderi - Iranian Journal of Mathematical Sciences and …, 2022 - ijmsi.ir
Let $ R $ be a commutative ring with identity. A proper submodule $ N $ of an $ R $-module
$ M $ is an n-submodule if $ rmin N~(rin R, min M) $ with $ rnotinsqrt {Ann_R (M)} $, then …
$ M $ is an n-submodule if $ rmin N~(rin R, min M) $ with $ rnotinsqrt {Ann_R (M)} $, then …