Results 51 to 60 of about 584 (193)
, 2022 Let R be a commutative ring with identity. For t is an element of N, a proper submodule N of an R-module M is called a t-prime submodule if rm is an element of N (r is an element of R, m is an element of M), then m is an element of N or r(t) is an ...
TERCAN, ADNAN, Moghaderi, Javad
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On Graded Jgr-Prime Submodules
Қарағанды университетінің хабаршысы. Математика сериясыIn this paper, we obtain several results concerning graded Jgr-prime submodules over a commutative graded ring. For example, we give fa characterization of graded Jgr-prime submodules and results related to residual of graded Jgr-prime submodules. Also,
M. Alnimer, K. Al-Zoubi, M. Al-Dolat
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A short Note on prime submodules [PDF]
Algebraic structures and their applications, 2018 Summary: Let \(R\) be a commutative ring with identity and \(M\) be a unital \(R\)-module. A proper submodule \(N\) of \(M\) with \(N:_RM=\mathfrak p\) is said to be prime or \(\mathfrak p\)-prime \((\mathfrak p\) a prime ideal of \(R)\) if \(rx\in N\) for \(r\in R\) and \(x\in M\) implies that either \(x\in N\) or \(r\in\mathfrak p\). In this paper we
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ON COMPLETELY PRIME SUBMODULES
International Electronic Journal of Algebra, 2016 15 ...
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, 2021 Let $R$ be a commutative ring with a non-zero identity, $S$ be a multiplicatively closed subset of $R$ and $M$ be a unital $R$-module. In this paper, we define a submodule $N$ of $M$ with $(N:_{R}M)\cap S=ϕ$ to be weakly $S$-prime if there exists $s\in S$ such that whenever $a\in R$ and $m\in M$ with $0\neq am\in N$, then either $sa\in(N:_{R}M)$ or $sm\
Khashan, Hani A., Celikel, Ece Yetkin
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Prime Submodules and a Sheaf on the Prime Spectra of Modules [PDF]
Communications in Algebra, 2014 We define and investigate a sheaf of modules on the prime spectra of modules and it is shown that there is an isomorphism between the sections of this sheaf and the ideal transform module.
Hassanzadeh-Lelekaami, D. +1 more
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The dual notion of prime submodules [PDF]
, 2001 summary:In this paper the concept of the second submodule (the dual notion of prime submodule) is ...
Yassemi, Siamak
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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.
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SOME REMARKS ON THE CLASSICAL PRIME SPECTRUM OF MODULES [PDF]
, 2021 Let R be a commutative ring with identity and let M be an R-module. A proper submodule P of M is called a classical prime submodule if abm ∈ P, for a,b ∈ R, and m ∈ M, implies that am ∈ P or bm ∈ P.
Naderi, Mohammad Hasan, Abbasi, Alireza
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ON COMULTIPLICATION AND R-MULTIPLICATION MODULES [PDF]
Journal of Algebraic Systems, 2014 We state several conditions under which comultiplication and weak comultiplication modulesare cyclic and study strong comultiplication modules and comultiplication rings.
Ashkan Nikseresht, Habib Sharif
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