Results 1 to 10 of about 141 (119)

On weakly classical 1-absorbing prime submodules

Open Mathematics
In this paper, we study weakly classical 1-absorbing prime submodules of a nonzero unital module M over a commutative ring R having a nonzero identity. A proper submodule N of M is said to be a weakly classical 1-absorbing prime submodule, if for each m ∈
Yılmaz Zeynep, Ersoy Bayram Ali, Tekir Ünsal, Koç Suat, Onar Serkan   +4 more
doaj   +6 more sources

ON CLASSICAL WEAKLY PRIME SUBMODULES [PDF]

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
openaire   +2 more sources

Weakly Nearly Prime Submodules

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2021
        In this article, unless otherwise established, all rings are commutative with identity and all modules are unitary left R-module. We offer this concept of WN-prime as new generalization of weakly prime submodules. Some basic properties of weakly
Ali Sabah Sadiaq, Haibat K. Mohammadali
doaj   +3 more sources

Weakly Nearly Quasi Prime Submodules

Tikrit Journal of Pure Science, 2022
In this paper, all rings are commutative with identity, and all R-modules are unitary Left R-modules. We introduce the concept WNQP submodule as new generalizations of weakly quasi prime submodule and give basic properties, examples and ...
Hero Jumaa Hassan, Haibat K. Mohammad Ali   +1 more
doaj   +2 more sources

Weakly Approximaitly Quasi-Prime Submodules And Related Concepts

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2021
Let R be  commutative Ring , and let T be  unitary left .In this paper ,WAPP-quasi prime submodules are introduced as  new generalization of Weakly quasi prime submodules , where  proper submodule C of an R-module T is called WAPP –quasi prime ...
Haibat K. Mohammadali, Shahad J. Mahmood
doaj   +3 more sources

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, A Azizi
exaly   +2 more sources

(n − 1, n)-weakly prime submodules in direct product of modules [PDF]

Journal of Hyperstructures, 2017
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 of direct product of modules.
M. Ebrahimpour
doaj   +2 more sources

1-absorbing and weakly 1-absorbing prime submodules of a module over a noncommutative ring

Afrika Matematika, 2023
AbstractIn this study, we aim to introduce the concepts of 1-absorbing prime submodules and weakly 1-absorbing prime submodules of a unital module over a noncommutative ring with nonzero identity. This is a new class of submodules between prime submodules (weakly prime submodules) and 2-absorbing submodules (weakly 2-absorbing submodules).
Nico Groenewald
exaly   +2 more sources

On Weakly Prime Submodules

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017
Let R be a commutative ring with unity and let M be a left R-module. We define a proper submodule N of M to be a weakly prime if whenever  r  R,  x  M, 0  r x  N implies  x  N  or  r  (N:M).
I. M.A. Hadi
doaj   +1 more source

Weakly Approximately primary submodules and Related Concepts

Tikrit Journal of Pure Science, 2021
Let R be a commutative ring with identity, and  be a unital left R-module. In this paper the concept of weakly approximately primary submodule are introduced as a new generalization of a weakly primary submodule, also it is a generalization of weakly ...
Khaled Y. Jhad, Bothaynah N. Shahab
doaj   +1 more source