Results 11 to 20 of about 466,881 (179)

On S-prime submodules

TURKISH JOURNAL OF MATHEMATICS, 2019
In this study, we introduce the concepts of S -prime submodules and S -torsion-free modules, which are generalizations of prime submodules and torsion-free modules.
E. Sevim, Tarik Arabaci, Ünsal Teki̇r, Suat Koç   +3 more
semanticscholar   +11 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.
M. Jamali, R. Jahani-Nezhad
semanticscholar   +3 more sources

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   +4 more sources

On the prime submodules of multiplication modules [PDF]

International Journal of Mathematics and Mathematical Sciences, 2003
By considering the notion of multiplication modules over a commutative ring with identity, first we introduce the notion product of two submodules of such modules. Then we use this notion to characterize the prime submodules of a multiplication module.
Reza Ameri
doaj   +4 more sources

Prime submodules and maximal submodules in the idealization of a module

Selecciones Matemáticas
This paper describes certain types of prime submodules and maximal submodules that are found within the idealization of a module. As a consequence of this, it is concluded that every module over a commutative ring with identity element has an extension ...
A. Molina, Mario Santiago, Juan Villanueva   +2 more
semanticscholar   +3 more sources

On prime submodules and primary decomposition [PDF]

Czechoslovak Mathematical Journal, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tıraṣ, Yücel, Harmancı, Abdullah
core   +4 more sources

Projective modules and prime submodules [PDF]

Czechoslovak Mathematical Journal, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alkan, Mustafa, Tiraş, Yücel
openaire   +3 more sources

On Nearly Prime Submodules of Unitary Modules

Journal of Mathematics, 2018
The aim of this paper is to introduce the notion of nearly prime submodules as a generalization of prime submodules. We investigate some of their basic properties and point out the similarities between these submodules and the prime submodules.
Nguyen Dang Hoa Nghiem, Samruam Baupradist, Ronnason Chinram   +2 more
doaj   +2 more sources

Weakly Classical Prime Submodules [PDF]

Kyungpook mathematical journal, 2016
14 pages.
Mostafanasab, Hojjat, Tekir, Unsal, Oral, Kursat Hakan   +2 more
core   +8 more sources

On Beta-Prime Submodules [PDF]

Journal of the Indonesian Mathematical Society, 2019
We introduce the concepts of $\beta$-prime submodules and weakly $\beta$-prime submodules of unital left modules over a commutative ring with nonzero identity. Some properties of these concepts are investigated. We use the notion of the product of two submodules to characterize $\beta$-prime submodules of a multiplication module.
Khumprapussorn, T. (Thawatchai)
openaire   +2 more sources