Results 11 to 20 of about 60 (37)
Journal of MathematicsLet A,∗,0 be a d-algebra. The main focus of this article is to introduce the concept of a homoderivation as a self-map of A that merges structural aspects of homomorphisms and derivations and then characterizes its relationship with a standard derivation
Hicham Saber +5 more
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Semiprime rings with generalized homoderivations
Boletim Da Sociedade Paranaense De Matematica, 2022 This study develops some results involving generalized homoderivation in semiprime rings and investigates the commutativity of semiprime rings admitting generalized homoderivations of ring R satisfying certain identities and some related results have ...
Emine Koç Sogutcu +4 more
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Characterization of Reverse (l, m, n)-Homoderivations on Prime and Semiprime Rings
International Journal of Mathematics and Mathematical SciencesWe introduce the concept of reverse l,m,n-homoderivations as a new class of additive mappings on rings, providing a common generalization of reverse derivations, antihomomorphisms, and related homoderivation-type mappings.
M. S. Tammam El-Sayiad +2 more
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Homoderivations and Their Impact on Lie Ideals in Prime Rings
Natural and Applied Sciences Journal, 2023 Assume we have a prime ring denoted as R" role="presentation" style="box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: 400; font-size: 17.22px ...
Güven, Evrim
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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
On the Structural Behavior of Multiplicative (Generalized)‐Derivations via d‐Algebra Structures
Journal of Mathematics, Volume 2026, Issue 1, 2026.In the context of a d‐algebra structure (℧, ∗, 0), this paper aims to introduce the concept of a multiplicative (generalized)‐derivation G associated with a self‐map Ξ (not necessarily a derivation). Based on this concept, the operations ∧ and composition ° will be defined, and several interesting related properties will be investigated, such as ...
Hicham Saber +5 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
Commutativity and Standard Polynomial Identities in τ‐Prime Rings With n‐Antihomoderivations
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper studies the effect of n‐antihomoderivations on τ‐prime rings. The first part establishes commutativity criteria by imposing natural commutator, centralizing, Lie‐type, and Jordan‐type identities on a nonzero τ‐ideal. The second part investigates when centralizing conditions on the action of the n‐antihomoderivation on τ‐symmetric elements ...
Mahmoud M. El-Soufi +3 more
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On Additivity and Multiplicativity of Centrally Extended (α, β)‐Higher Derivations in Rings
International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.In this paper, the concept of centrally extended (α, β)‐higher derivations is studied. It is shown to be additive in a ring without nonzero central ideals. Also, we prove that in semiprime rings with no nonzero central ideals, every centrally extended (α, β)‐higher derivation is an (α, β)‐higher derivation.
O. H. Ezzat, Attila Gil nyi
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Prime Ideals and Homoderivations on Rings
Cumhuriyet Science JournalIn this paper, we aim to establish a new approach that involves characterizing the commutativity of a quotient ring L/P with homoderivations of L satisfying some algebraic identities involving the prime ideal P.
Zeliha Bedir
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