Results 71 to 80 of about 4,079 (208)
Interval-Valued Semiprime Fuzzy Ideals of Semigroups
Advances in Fuzzy Systems, 2014 We introduce the notion of (i-v) semiprime (irreducible) fuzzy ideals of semigroups and investigate its different algebraic properties. We study the interrelation among (i-v) prime fuzzy ideals, (i-v) semiprime fuzzy ideals, and (i-v) irreducible fuzzy ...
Sukhendu Kar, Paltu Sarkar, Kostaq Hila
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Influence of Divisor-ratio to Distribution of Semiprime's Divisor
Journal of Mathematics Research, 2018 For a semiprime that consists in two distinct odd prime divisors, this article makes an investigation on the distribution of the small divisor by analyzing the divisor-ratio that is calculated by the big divisor divided by the small one.
Xingbo Wang
semanticscholar +1 more source
Proceedings of the American Mathematical Society, 1973 The main results proved in this paper are that if R R is a semiprime ring satisfying a polynomial identity then (1) the maximal right quotient ring of R R is also P.I. and (2) every essential one-sided ideal of R R contains an essential two-sided ideal of R R .
openaire +2 more sources
On Fully Semiprime Submodules and Fully Semiprime Modules
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 Let R be a commutative ring with unity and let M be a unitary R-module. In this paper we study fully semiprime submodules and fully semiprime modules, where a proper fully invariant R-submodule W of M is called fully semiprime in M if whenever Xï ...
I.M.A. Hadi, B.N. Shihab
doaj
Semiprime SF-rings whose essential left ideals are two-sided
International Journal of Mathematics and Mathematical Sciences, 1994 It is proved that if R is a semiprime ELT-ring and every simple right R-module is flat then R is regular. Is R regular if R is a semiprime ELT-ring and every simple right R-module is flat? In this note, we give a positive answer to the question.
Zhang Jule, Du Xhianneng
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On semiprime ideals in lattices
Journal of Pure and Applied Algebra, 1990 AbstractThe basic aim of this note is to show that alleles can be a useful tool for investigations of semiprime ideals. By means of alleles we characterize semiprime ideals in general lattices. We also study when a sectionally complemented lattice is distributive.
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On Jordan left-I-centralizers of prime and semiprime gamma rings with involution
Journal of the Egyptian Mathematical Society, 2016 Let M be a 2-torsion free Γ-ring with involution I satisfying the condition xαyβz=xβyαz for all x,y,z∈M and α,β∈Γ. The object of our paper is to show that every Jordan left-I-centralizer on a semiprime Γ-ring with involution I, is a reverse left-I ...
Kalyan Kumar Dey +2 more
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Left Derivations and Strong Commutativity Preserving Maps on Semiprime $Γ$-Rings [PDF]
arXiv, 2012 In this paper, firstly as a short note, we prove that a left derivation of a semiprime $\Gamma$-ring $M$ must map $M$ into its center, which improves a result by Paul and Halder and some results by Asci and Ceran. Also we prove that a semiprime $\Gamma$-ring with a strong commutativity preserving derivation on itself must be commutative and that a ...
arxiv
On Maps of Period 2 on Prime and Semiprime Rings
International Journal of Mathematics and Mathematical Sciences, 2014 A map f of the ring R into itself is of period 2 if f2x=x for all x∈R; involutions are much studied examples. We present some commutativity results for semiprime and prime rings with involution, and we study the existence of derivations and generalized ...
H. E. Bell, M. N. Daif
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On fuzzy prime and fuzzy semiprime ideals of $\le$-hypergroupoids [PDF]
arXiv, 2016 We deal with an hypergroupoid endowed with a relation denoted by "$\le$", we call it $\le$--hypergroupoid. We prove that a nonempty subset $A$ of a $\le$--hypergroupoid $H$ is a prime (resp. semiprime) ideal of $H$ if and only if its characteristic function $f_A$ is a fuzzy prime (resp. fuzzy semiprime) ideal of $H$.
arxiv