Results 31 to 40 of about 59,526 (169)
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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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
wiley +1 more source
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
openaire +2 more sources
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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A Class of Nonlinear Nonglobal Semi‐Jordan Triple Derivable Mappings on Triangular Algebras
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this paper, we proved that each nonlinear nonglobal semi‐Jordan triple derivable mapping on a 2‐torsion free triangular algebra is an additive derivation. As its application, we get the similar conclusion on a nest algebra or a 2‐torsion free block upper triangular matrix algebra, respectively.
Xiuhai Fei, Haifang Zhang, Wenpeng Zhang
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The Source of Semiprimeness of Semigroups
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this study, we define new semigroup structures using the set SS = {a ∈ S|aSa = 0} which is called the source of semiprimeness for a semigroup S with zero element. |SS|−idempotent semigroup, |SS|−regular semigroup, |SS|−reduced semigroup, and |SS|−nonzero divisor semigroup which are generalizations of idempotent, regular, reduced, and nonzero divisor
Barış Albayrak +3 more
wiley +1 more source
[Retracted] (m, n)‐Ideals in Semigroups Based on Int‐Soft Sets
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 Algebraic structures play a prominent role in mathematics with wide ranging applications in many disciplines such as theoretical physics, computer sciences, control engineering, information sciences, coding theory, and topological spaces. This provides sufficient motivation to researchers to review various concepts and results from the realm of ...
G. Muhiuddin +2 more
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Some Studies in Hemirings by the Falling Fuzzy k‐Ideals
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this article, we establish the idea of falling fuzzy k‐ideals in hemirings through the falling shadow theory and fuzzy sets. We shall express the relations between fuzzy k‐ideals and falling fuzzy k‐ideals in hemirings. In particular, we shall establish different characterizations of k‐hemiregular hemirings in the perfect positive correlation and ...
R. Anjum +7 more
wiley +1 more source