Results 1 to 10 of about 26 (25)
Multiplicativity of left centralizers forcing additivity
Boletim da Sociedade Paranaense de Matemática, 2014 A multiplicative left centralizer for an associative ring R is a map satisfying T(xy) = T\(x)y for all x,y in R. T is not assumed to be additive. In this paper we deal with the additivity of the multiplicative left centralizers in a ring which contains ...
Mohammad Sayed Tammam El-Sayiad +2 more
doaj +1 more source
Commutativity theorems on prime and semiprime rings with generalized $(\sigma,\tau)$-derivations
Boletim da Sociedade Paranaense de Matemática, 2014 Let $R$ be an associative ring, $I$ a nonzero ideal of $R$ and $\sigma, \tau$ two epimorphisms of $R$. An additive mapping $F: R\rightarrow R$ is called a generalized $(\sigma,\tau)$-derivation of $R$ if there exists a $(\sigma,\tau)$-derivation $d: R ...
Basudeb Dhara +2 more
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A note on derivations in semiprime rings
International Journal of Mathematics and Mathematical Sciences, 2005 We prove in this note the following result. Let n>1 be an integer and let R be an n!-torsion-free semiprime ring with identity element. Suppose that there exists an additive mapping D:R→R such that D(xn)=∑j=1nxn−jD(x)xj−1 is fulfilled for all x∈R.
Joso Vukman, Irena Kosi-Ulbl
doaj +1 more source
(ï³,ï´)- Strongly Derivations Pairs on Rings
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2016 Let R be an associative ring. In this paper we present the definition of (s,t)- Strongly derivation pair and Jordan (s,t)- strongly derivation pair on a ring R, and study the relation between them.
I. A. Saed
doaj
An Identity Related to Derivations of Standard Operator Algebras and Semisimple H*-Algebra¹
Cubo, 2010 In this paper we prove the following result. Let X be a real or complex Banach space, let L (X) be the algebra of all bounded linear operators on X, and let be a standard operator algebra. Suppose is a linear mapping satisfying the relation .
Irena Kosi-Ulbl, Joso Vukman
doaj
Soft Substructures in Quantales and Their Approximations Based on Soft Relations [PDF]
Computational Intelligence and Neuroscience, Volume 2022, Issue 1, 2022., 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.
Huan Zhou +6 more
wiley +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 +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 +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 +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 +5 more
wiley +1 more source