Results 21 to 30 of about 69 (66)
ON DERIVATIONS SATISFYING CERTAIN IDENTITIES ON RINGS AND ALGEBRAS [PDF]
, 2019 The present paper deals with the commutativity of an associative ring $R$ and a unital Banach Algebra $A$ via derivations. Precisely, the study of multiplicative (generalized)-derivations $F$ and $G$ of semiprime (prime) ring $R$ satisfying the ...
Camci, Didem K. +3 more
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( U,R) STRONGLY DERIVATION PAIRS ON LIE IDEALS IN RINGS [PDF]
, 2015 Let R be an associative ring , U be a nonzero Lie ideal of R. In this paper , we will present the definition of (U,R) strongly derivation pair (d,g) , then we will get d=0 (resp.
A. Saed, Ikram
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On dependent elements in rings [PDF]
, 2004 Let R be an associative ring. An element ▫$ain R$▫ is said to be dependent on a mapping ▫$F:Rto R$▫ in case ▫$F(x)a=ax$▫ holds for all ▫$xin R$▫. In this paper, elements dependent on certain mappings on prime and semiprime rings are investigated.
Vukman, Joso +3 more
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Jordan superderivations. II [PDF]
, 2004 In a recent paper we have extended the classical Herstein's theorem on Jordan derivations on prime rings to Jordan superderivations on prime associative superalgebras.
Fošner, Maja +2 more
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Generalized (; )-derivations and Left Ideals in Prime and Semiprime Rings [PDF]
, 2017 Let R be an associative ring, ; be the automorphisms of R, be a nonzero left ideal of R, F : R ! R be a generalized (; )-derivation and d : R ! Rbe an (; )-derivation.
Rahaman, Hamidur, Ali, Asma
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, 2021 Neste trabalho estudamos uma classe de anéis, os anéis quadrálicos generalizados, definidos por identidades polinomiais que valem para todas as álgebras quadráticas.
Giuliani, Osmar Francisco
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Commutativity of rings with constraints involving a subset [PDF]
, 2003 summary:Suppose that $R$ is an associative ring with identity $1$, $J(R)$ the Jacobson radical of $R$, and $N(R)$ the set of nilpotent elements of $R$. Let $m \ge 1$ be a fixed positive integer and $R$ an $m$-torsion-free ring with identity $1$.
Khan, Moharram A.
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Permuting Generalized f‐Triderivations on Lattices
Journal of Mathematics, Volume 2026, Issue 1, 2026.G. Szász initially proposed the idea of lattice derivation, and it has since been revived in the study of other problems in various branches of mathematics and applied sciences. The intention of the current research is to examine the structure of permuting generalized f‐triderivation linked with permuting f‐triderivation on lattice T,∧,∨ and to provide
Areej Almuhaimeed +3 more
wiley +1 more source
Additivity and Central Behavior of CE‐Generalized Homoderivations in Associative Rings
Journal of Mathematics, Volume 2026, Issue 1, 2026.This study examines the commutativity of a ring R endowed with a special class of mappings termed centrally extended generalized homoderivations. These mappings serve as an extension of several existing concepts, including homoderivations, generalized homoderivations, and left centralizers.
Hicham Saber +6 more
wiley +1 more source
On the Structure of Near‐Rings via P‐Semiderivations
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper introduces the concept of a P‐semiderivation on a near‐ring N, which serves as a generalization of the classical notion of a semiderivation. We investigate the fundamental properties of P‐semiderivations in relation to a nonempty subset P⊆N. The study primarily focuses on the structure of 3‐prime near‐rings that admit such mappings.
Ali Yahya Hummdi +4 more
wiley +1 more source