Results 21 to 30 of about 466,881 (179)
Rocky Mountain Journal of Mathematics, 2007 Throughout \(R\) is a commutative ring with identity. A non-zero module \(M\) is called secondary if for all \(x\in R\), either \(xM=M\) or there exists \(n\in \mathbb{N}\) such that \(x^nM=0\). The authors establish results on secondary modules and on the radicals of a submodule.
Mustafa Alkan
exaly +3 more sources
Iraqi Journal for Computer Science and MathematicsConsider a left J-module I. The present study introduces the conception of rad-Quasi- Prime submodule, that serves as a dual popularization of both Quasi-Prime submodules and primary submodules.
Rana NooriMajeed +3 more
doaj +2 more sources
, 2017 Summary: 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.
Bilgin, Zehra +2 more
core +4 more sources
SOME RESULTS ON STRONGLY PRIME SUBMODULES [PDF]
Journal of Algebraic Systems, 2014 Let $R$ be a commutative ring with identity and let $M$ be an $R$-module. A proper submodule $P$ of $M$ is called strongly prime submodule if $(P + Rx : M)ysubseteq P$ for $x, yin M$, implies that $xin P$ or $yin P$.
Alireza Naghipour
doaj +2 more sources
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
exaly +3 more sources
Journal of Al-Qadisiyah for Computer Science and MathematicsLet be commutative rings with identity, and all modules are (left) unitary . of an G is called prime , if for any , for , , imples that either or .As strong from of prime sub modules we introduce in that paper the concept of Mine-Prime submodules
Ali Sabah Sadip +1 more
semanticscholar +2 more sources
On Quasi Prime Fuzzy Submodules and Quasi Primary Fuzzy Submodules
مجلة علوم ذي قار, 2019 In this paper we give some results about fuzzy quasi prime submodules, also,we study the notion of quasi primary fuzzy ...
Rabee Hadi
doaj +8 more sources
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 +3 more sources
A note on the countable union of prime submodules [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 Let M be a finitely-generated module over a Noetherian ring R. Suppose 𝔞 is an ideal of R and let N=𝔞M and 𝔟=Ann(M/N). If 𝔟⫅J(R), M is complete with respect to the 𝔟-adic topology, {Pi}i≥1 is a countable family of prime submodules of M, and x∈M, then x+N⫅
M. R. Pournaki, M. Tousi
doaj +2 more sources
SOME PROPERTIES OF ALMOST JOINTLY PRIME (R,S)-SUBMODULES
Journal of Fundamental Mathematics and Applications (JFMA)Let 𝑅 and 𝑆 be rings with identity. The definition of prime submodule has been generalized to the almost prime submodule. In addition, the definition of prime submodule has also been carried over to the (𝑅,𝑆)-module structure, which is called jointly ...
Dian Ariesta Yuwaningsih +3 more
semanticscholar +3 more sources