Results 31 to 40 of about 1,149,018 (192)
Semiprime rings with Krull dimension are Goldie
Journal of Algebra, 1973 Robert Gordon, J. C. Robson
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On Multiplicative (Generalized)‐Derivation Involving Semiprime Ideals
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 Let A be any arbitrary associative ring, P a semiprime ideal, and J a nonzero ideal of A. In this study, using multiplicative (generalized)‐derivations, we explore the behavior of semiprime ideals that satisfy certain algebraic identities. Moreover, examples are provided to demonstrate that the restrictions imposed on the hypotheses of the various ...
Hafedh M. Alnoghashi +3 more
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Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1991 AbstractSome properties of v-semiprime (v = 0, 1, 2) near-rings are pointed out. In particular v semiprime near-rings which contain nil non-nilpotent ideals are studied.
S. De Stefano, S. Di Sieno
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Cryptographic Accumulator and Its Application: A Survey
Security and Communication Networks, Volume 2022, Issue 1, 2022., 2022 Since the concept of cryptographic accumulators was first proposed in 1993, it has received continuous attention from researchers. The application of the cryptographic accumulator is also more extensive. This paper makes a systematic summary of the cryptographic accumulator.
Yongjun Ren +5 more
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2‐Prime Hyperideals of Multiplicative Hyperrings
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 Multiplicative hyperrings are an important class of algebraic hyperstructures which generalize rings further to allow multiple output values for the multiplication operation. Let R be a commutative multiplicative hyperring. A proper hyperideal I of R is called 2‐prime if x∘y⊆I for some x, y ∈ R, then, x2⊆I or y2⊆I.
Mahdi Anbarloei, Xiaogang Liu
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Lattice Points on the Fermat Factorization Method
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, we study algebraic properties of lattice points of the arc on the conics x2 − dy2 = N especially for d = 1, which is the Fermat factorization equation that is the main idea of many important factorization methods like the quadratic field sieve, using arithmetical results of a particular hyperbola parametrization.
Regis Freguin Babindamana +3 more
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A result related to derivations on unital semiprime rings
Glasnik Matematicki - Serija III, 2021 The purpose of this paper is to prove the following result. Let n≥3 be some fixed integer and let R be a (n+1)!2n-2-torsion free semiprime unital ring. Suppose there exists an additive mapping D: R→ R satisfying the relation for all x ∈ R. In this case D
I. Kosi-Ulbl +3 more
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On semiprime segments of rings [PDF]
Journal of the Australian Mathematical Society, 2006 AbstractA semiprime segment of a ring R is a pair P2 ⊂ P1 of semiprime ideals of R such that ∩ In ⊆ P2 for all ideals I of R with P2 ⊂ I ⊂ P1. In this paper semiprime segments with P1 a comparizer ideal are classified as either simple, exceptional, or archimedean, extending to several classes of rings a classification known for right chain rings. These
Günter Törner, R. Mazurek
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Characterizing Jordan Derivable Maps on Triangular Rings by Local Actions
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 Suppose that T=TriA,ℳ,ℬ is a 2‐torsion free triangular ring, and S=A,B|AB=0,A,B∈T∪A,X|A∈T, X∈P,Q, where P is the standard idempotent of T and Q = I − P. Let δ:T⟶T be a mapping (not necessarily additive) satisfying, A,B∈S⇒δA∘B=A∘δB+δA∘B, where A∘B = AB + BA is the Jordan product of T.
Hoger Ghahramani +3 more
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Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 The aim of the paper is to give a description of nonlinear Jordan derivable mappings of a certain class of generalized matrix algebras by Lie product square‐zero elements. We prove that under certain conditions, a nonlinear Jordan derivable mapping Δ of a generalized matrix algebra by Lie product square‐zero elements is a sum of an additive derivation ...
Xiuhai Fei, Haifang Zhang, Wenpeng Zhang
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