Results 21 to 30 of about 2,393 (148)
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
wiley +1 more source
On centralizers of semiprime rings [PDF]
Aequationes Mathematicae, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vukman, Joso, Kosi-Ulbl, Irena
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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
wiley +1 more source
Strongly semiprime rings [PDF]
Pacific Journal of Mathematics, 1975 For a ring with 1, we show that every proper kernel functor generates a proper torsion radical if and only if the ring is a finite subdirect product of strongly prime (also called ATF) rings. This is equivalent to every essential right ideal containing a finite set whose right annihilator is zero.
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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
wiley +1 more source
PI theory for Associative Pairs [PDF]
, 2019 We extend the classical associative PI-theory to Associative Pairs, and in doing so, we introduce related notions already present for algebras (and Jordan systems) as the ones of PI-element and PI-ideal, extended centroid and central ...
Montaner, F., Paniello, I.
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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
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 .
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Ore and Goldie theorems for skew PBW extensions [PDF]
, 2013 Many rings and algebras arising in quantum mechanics can be interpreted as skew PBW (Poincar\'e-Birkhoff-Witt) extensions. Indeed, Weyl algebras, enveloping algebras of finite-dimensional Lie algebras (and its quantization), Artamonov quantum polynomials,
Acosta, Juan Pablo +4 more
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Structure of Semiprime P.I. Rings [PDF]
Proceedings of the American Mathematical Society, 1973 In this paper we make an investigation into the structure of semiprime polynomial identity rings which is culminated by showing that each such ring R R has a unique maximal left quotient ring Q Q such that (1) Q Q is von Neumann regular with unity and (2) every regular element in R R
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