Results 11 to 20 of about 730 (54)

Soft Substructures in Quantales and Their Approximations Based on Soft Relations. [PDF]

Comput Intell Neurosci, 2022
The aim of this research article is to derive a new relation between rough sets and soft sets with an algebraic structure quantale by using soft binary relations. The aftersets and foresets are utilized to define lower approximation and upper approximation of soft subsets of quantales.
Zhou H, Qurashi SM, Rehman MU, Shabir M, Kanwal RS, Khalil AM.   +5 more
europepmc   +2 more sources

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, Sabah Naji, Nadeem ur Rehman, Li Guo   +3 more
wiley   +1 more source

Centralizing n‐Homoderivations of Semiprime Rings

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
We introduce the notion of n‐homoderivation on a ring ℜ and show that a semiprime ring ℜ must have a nontrivial central ideal if it admits an appropriate n‐homoderivation which is centralizing on some nontrivial one‐sided ideal. Under similar hypotheses, we prove commutativity in prime rings.
M. S. Tammam El-Sayiad, A. Ageeb, A. Ghareeb, Francesca Tartarone   +3 more
wiley   +1 more source

Centrally Extended α‐Homoderivations on Prime and Semiprime Rings

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
We present a new type of mappings called centrally extended α‐homoderivations of a ring ℜ (i.e., a map H from ℜ into ℜ which satisfies H(x + y) − H(x) − H(y) ∈ Z(ℜ) and H(xy) − H(x)H(y) − H(x)α(y) − α(x)H(y) ∈ Z(ℜ) for any x, y ∈ ℜ) where α is a mapping of ℜ and discuss the relationship between these mappings and other related mappings.
Mahmoud M. El-Soufi, A. Ghareeb, Carmelo Antonio Finocchiaro   +2 more
wiley   +1 more source

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, Xinyu Liu, Qiang Wu, Ling Wang, Weijian Zhang, Stelvio Cimato   +5 more
wiley   +1 more source

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

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, Gilda Rech Bansimba, Basile Guy Richard Bossoto, Bibhas Ranjan Majhi   +3 more
wiley   +1 more source

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, Mohammad Nader Ghosseiri, Tahereh Rezaei, Ji Gao   +3 more
wiley   +1 more source

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
wiley   +1 more source

Prime Graphs of Polynomials and Power Series Over Noncommutative Rings

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
The prime graph PG(R) of a ring R is a graph whose vertex set consists of all elements of R. Two elements x, y ∈ R are adjacent in the graph if and only if xRy = 0 or yRx = 0. An element a ∈ R is called a strong zero divisor in R if 〈a〉〈b〉 = 0 or 〈b〉〈a〉 = 0 for some nonzero element b ∈ R. The set of all strong zero divisors is denoted by S(R).
Walaa Obaidallah Alqarafi, Wafaa Mohammed Fakieh, Alaa Abdullah Altassan, Shikha Binwal   +3 more
wiley   +1 more source