Results 171 to 180 of about 584 (193)

On the Dual Notion of Prime Submodules

Algebra Colloquium, 2012
Let R be a commutative ring and M an R-module. In this paper, we study the dual notion of prime submodules (that is, second submodules of M) and investigate the conditions under which the number of maximal second submodules of M is finite. Furthermore, we introduce the concept of coisolated submodules of M and obtain some related characterizations.
Ansari-Toroghy, H., Farshadifar, F.
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Prime Submodules and Symmetric Algebras

2016
147
Marcelo, Agustín, Marcelo, Félix, Rodríguez, César   +2 more
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Prime Submodules and Flat Modules

Acta Mathematica Sinica, English Series, 2006
The author studies prime submodules of flat and free modules over commutative rings.
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Almost prime and weakly prime submodules

Journal of Algebra and Its Applications, 2019
Let [Formula: see text] be an arbitrary ring and [Formula: see text] be a right [Formula: see text]-module. A proper submodule [Formula: see text] of [Formula: see text] is called almost prime (respectively, weakly prime) if for each submodule [Formula: see text] of [Formula: see text] and each ideal [Formula: see text] of [Formula: see text] that ...
Beiranvand, P. Karimi, Beyranvand, R.
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On graded 1-absorbing prime submodules

Journal of Discrete Mathematical Sciences and Cryptography, 2023
Rashid Abu-Dawwas
exaly  

Some characteristics of cyclic prime, weakly prime and almost prime submodule of Gaussian integer modulo over integer

AIP Conference Proceedings, 2021
I Gede Adhitya Wisnu Wardhana
exaly  

Prime submodules

Communications in Algebra, 1992
R.L. McCasland, M.E. Moore
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gw-prime submodules

2022
In this work, gw-prime submodules of a module over a commutative ring with identity are defined. This class of submodules is a generalization of weakly prime submodules. After examining general properties of gw-prime submodules, their relation with valuation modules are investigated.
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1-absorbing and weakly 1-absorbing prime submodules of a module over a noncommutative ring

Afrika Matematika, 2023
Nico Groenewald
exaly  

On \(L\)-fuzzy prime submodules

2005
Summary: In this paper the concept of an \(L\)-fuzzy prime submodule of \(M\) is given, and some fundamental lemmas are proved. Also, a characterization of an \(L\)-fuzzy prime submodule is given. Finally, we show that an \(L\)-fuzzy prime submodule is inherited by an \(R\)-module epimorphism.
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