Results 41 to 50 of about 584 (193)

SOME RESULTS ON ϕ -(k,n)-CLOSED SUBMODULES [PDF]

Journal of Algebraic Systems, 2021
Let $R$ be a commutative ring with identity and $M$ be a unitary $R$ -module. Let $S(M)$ be the set of all submodules of $M$ and $\phi :S(M)\rightarrow S(M)\cup \lbrace\emptyset\rbrace$ be a function. A proper submodule $N$ of $M$ is called $\phi$ -semi-$
M. H. Moslemi Koupaei
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Semi-Essential Submodules and Semi-Uniform Modules [PDF]

Kirkuk Journal of Science, 2009
In this work,we give generalizations for the concepts essential submodule and uniform module.We call an R-submodule N of M semi-essential if N∩P≠0 for each nonzero prime R- submodule P of M, and we call an R- module M semi - uniform if every ...
Ali S. Mijbass, Nada K. Abdullah
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The intersection graph of annihilator submodules of a module [PDF]

Opuscula Mathematica, 2019
Let \(R\) be a commutative ring and \(M\) be a Noetherian \(R\)-module. The intersection graph of annihilator submodules of \(M\), denoted by \(GA(M)\) is an undirected simple graph whose vertices are the classes of elements of \(Z_R(M)\setminus \text ...
S.B. Pejman, Sh. Payrovi, S. Babaei
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Pure submodules of BCK-modules [PDF]

Journal of Hyperstructures, 2014
In this paper by considering the notion of BCK-module, we introduce pure BCK- submodules and we prove some results by it. In particular, we show that if X is a BCK- algebra, M is a cyclic BCK-module and N a prime BCK- submodule of M, then N is a pure BCK-
N. Motahari, T. Roudbari Lor
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PRIME BASES OF WEAKLY PRIME SUBMODULES AND THE WEAK RADICAL OF SUBMODULES [PDF]

Journal of the Korean Mathematical Society, 2013
We will introduce and study the notion of prime bases for weakly prime submodules and utilize them to derive some formulas on the weak radical of submodules of a module. In particular, we will show that every one dimensional integral domain weakly satisfies the radical formula and state some necessary conditions on local integral domains which are semi-
Ashkan Nikseresht, Abdulrasool Azizi
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ON CLASSICAL WEAKLY PRIME SUBMODULES

Facta Universitatis, Series: Mathematics and Informatics, 2022
The aim of this paper is to introduce the concept of classical weakly prime submodules which is the generalization of the notion of weakly classical prime submodules to modules over arbitrary noncommutative rings. We study some properties of classical weakly prime submodules and investigate their structure in different classes of modules.
Marziye Jamali, Reza Jahani-Nezhad
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Prime and primary submodules of certain modules [PDF]

, 2006
summary:In this paper we characterize all prime and primary submodules of the free $R$-module $R^{n}$ for a principal ideal domain $R$ and find the minimal primary decomposition of any submodule of $R^{n}$. In the case $n=2$, we also determine the height
Amini, A., Amini, B., Sharif, H.
core   +1 more source

The Radical of an Endo-Restricted Bounded Submodule Related to Prime Submodules

Ibn Al-Haitham Journal for Pure and Applied Sciences
In this paper, we present the concept of the radical of an Endo-Restricted Bounded submodule and establish its characterization, which is regarded as a new notion.
Mohammed Salman Murad, Buthyna Najad Shihab   +1 more
doaj   +1 more source

Weak Essential Submodules

مجلة بغداد للعلوم, 2009
A non-zero submodule N of M is called essential if N L for each non-zero submodule L of M. And a non-zero submodule K of M is called semi-essential if K P for each non-zero prime submodule P of M. In this paper we investigate a class of submodules that
Baghdad Science Journal
doaj   +1 more source

Prime Submodules of Noetherian Modules

Rocky Mountain Journal of Mathematics, 1993
Let \(M\) be a left module over a ring \(R\). Then a proper submodule \(N\) of \(M\) is defined to be a prime submodule if for each \(r \in R\), \(m \in M\), \(rRm \subseteq N\) implies \(rM \subseteq N\) or \(m \in N\). Hence if \(N\) is a prime submodule of \(M\), then the annihilator \(P\) of \(M/N\) is a two- sided prime ideal of \(R\).
McCasland, R.L., Smith, P.F.
openaire   +3 more sources