Results 1 to 10 of about 584 (193)
Projective modules and prime submodules [PDF]
Czechoslovak Mathematical Journal, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mustafa Alkan, Alkan Mustafa
exaly +4 more sources
On prime submodules and primary decomposition [PDF]
Czechoslovak Mathematical Journal, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdullah Harmanci, Harmanci Abdullah
exaly +5 more sources
Zariski topology on the spectrum of graded classical prime submodules
Applied General Topology, 2013 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 every $a, b\in h(R)$, $m\in h(M)$, whenever $abm\in N$, then either $am\in N$ or $bm ...
Ahmad Yousefian Darani, Shahram Motmaen
doaj +8 more sources
WE-Prime Submodules and WE-Semi-Prime Submodules
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2018 "In this article, "we introduce the concept of a WE-Prime submodule", as a stronger form of a weakly prime submodule". "And as a "generalization of WE-Prime submodule", we introduce the concept of WE-Semi-Prime submodule, which is also a stronger form of
Saif A. Hussin, Haibt K. Mohammadali
doaj +2 more sources
Indian Journal of Pure and Applied Mathematics, 2013 The authors generalize and study the notion of \(n\)-almost prime ideals to the case of modules. Let \(R\) be a commutative ring. A proper submodule \(N\) of an \(R\)-module \(M\) is called an \(n\)-almost prime (submodule), if for \(r\in R\) and \(a\in N\) with \(ra\in N\backslash (N:M)^{n-1}N\), either \(a\in N\) or \(r\in (N:M)\), where \(n\) is a ...
A Azizi
exaly +5 more sources
Communications in Algebra, 2009 Let $R$ be a commutative ring with identity. For an $R$-module $M$, the notion of strongly prime submodule of $M$ is defined. It is shown that this notion of prime submodule inherits most of the essential properties of the usual notion of prime ideal. In particular, the Generalized Principal Ideal Theorem is extended to modules.
A R Naghipour
exaly +3 more sources
GRADED I-PRIME SUBMODULES [PDF]
Journal of Algebraic Systems, 2023 Let $R= \bigoplus_{g \in G} R_g$ be a $G-$graded commutative ring with identity, $I$ be a graded ideal and let $M$ a $G-$graded unitary $R$-module, where $G$ is a semigroup with identity $e$.
I. Akray +3 more
doaj +1 more source
Weakly Quasi 2-Absorbing submodule
Tikrit Journal of Pure Science, 2023 Let R be a commutative ring with identity , and M is a unitary left R-module”, “A proper submodule E of an R-module M is called a weakly quasi-prime if whenever r, s ∈ R, m ∈ M, with 0 ≠ rsm ∈ E , implies that rm ∈ E or sm ∈ E”.
Haibt K . Mohammadali, Khalaf H Alhabeeb
doaj +1 more source
Nearly 2-Absorbing Submodules And Related Concepts
Tikrit Journal of Pure Science, 2023 Throughout this note R is commutative ring with identity, and X be a left unitary R-module. A proper submodule K of an R-module X is called nearly prime, if whenever implies that either ( ) or [ ( ) ].
Reem T. Abdulqader, Shwkea M. Rajab
doaj +1 more source
Generalizations of prime submodules over non-commutative rings [PDF]
Journal of Hyperstructures, 2023 Throughout this paper, R is an associative ring (not necessarily commutative) with identity and M is a right R-module with unitary. In this paper, we introduce a new concept of ∅-prime submodule over an associative ring with identity.
Emel Aslankarayigit Ugurlu
doaj +1 more source