Results 61 to 70 of about 175 (133)
Semiprime Ideals of \(\Gamma\)-So-Rings
International Journal of Algebra and Statistics, 2014 A \(\Gamma\)-so-ring is a structure possessing a natural partial ordering, an infinitary partial addition and a ternary multiplication, subject to a set of axioms. The partial functions under disjoint-domain sums and functional composition is a \(\Gamma\)-so-ring.
K. Siva Prasad, M. Siva Mala
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Extracta Mathematicae, 2020 If M is a torsion-free module over an integral domain, then we show that for each submodule N of M the envelope EM (N ) of N in M is an essential extension of N. In particular, if N is divisible then EM (N ) = N .
S.C. Lee, R. Varmazyar
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Semiprime rings with prime ideals invariant under derivations
Journal of Algebra, 2006 For semiprime rings \(R\), the following is an open question: Does there exist a family of prime ideals \(P_\alpha\), \(\alpha\in\Gamma\), such that \(\bigcap P_\alpha=\{0\}\) and each \(P_\alpha\) is invariant under all derivations of \(R\)? This paper provides an affirmative answer for countable rings and PI-rings.
Chuang, Chen-Lian, Lee, Tsiu-Kwen
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On f - prime radical in ordered semigroups
Open Mathematics, 2018 In this paper, we introduce the concepts of f-prime ideals, f-semiprime ideals and f-prime radicals in ordered semigroups. Furthermore, some results on f-prime radicals and f-primary decomposition of an ideal in an ordered semigroup are obtained.
Gu Ze
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A Characterization of semiprime ideals in near-rings [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1982 AbstractIt is well known that in any near-ring, any intersection of prime ideals is a semiprime ideal. The aim of this paper is to prove that any semiprime ideal I in a near-ring N is the intersection of all minimal prime ideals of I in N. As a consequence of this we have any seimprime ideal I is the intersectionof all prime ideals containing I.
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International Journal of Mathematics and Mathematical Sciences, 2000 For prime rings R, we characterize the set U∩CR([U,U]), where U is a right ideal of R; and we apply our result to obtain a commutativity-or-finiteness theorem. We include extensions to semiprime rings.
Howard E. Bell
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On functional identities involving n-derivations in rings [PDF]
Journal of Mahani Mathematical ResearchIn this paper, we explore various properties associated with the traces of permuting $n$-derivations satisfying certain functional identities that operate on a Lie ideal within prime and semiprime rings.
Vaishali Varshney +3 more
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Derivations satisfying certain algebraic identities on Lie ideals [PDF]
Mathematica Moravica, 2019 Let d be a derivation of a semiprime ring R and L a nonzero Lie ideal of R. In this note, it is proved that every noncentral square-closed Lie ideal of R contains a nonzero ideal of R. Further, we use this result to characterize the conditions: d(xy) = d(
Sandhu Gurninder S., Kumar Deepak
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A note on semiprime rings with derivation
International Journal of Mathematics and Mathematical Sciences, 1997 Let R be a 2-torsion free semiprime ring, I a nonzero ideal of R, Z the center of R and D:R→R a derivation. If d[x,y]+[x,y]∈Z or d[x,y]−[x,y]∈Z for all x, y∈I, then R is commutative.
Motoshi Hongan
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Soft Substructures in Quantales and Their Approximations Based on Soft Relations. [PDF]
Comput Intell Neurosci, 2022 Zhou H +5 more
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