Results 11 to 20 of about 129 (68)
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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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 Matemática, 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 also been discussed.
Abdelkarim Boua, Emine Koç Sögütcü
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The commutativity of prime rings with homoderivations
International Journal of Advanced and Applied Sciences, 2018 E. F. Alharfie, N. M. Muthana
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On zero-power valued homoderivations in 3-prime near-rings
Boletim da Sociedade Paranaense de Matemática, 2022 We will start this article by proving a crucial concept, which will allow us to overcome a set of obstacles we encountered in previous articles concerning the commutativity of near-ring involving homoderivations and Jordan ideals. Furthermore, we present examples to show that limitations imposed in the hypothesis of our results are necessary.
Adel En-guady +2 more
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Lie right ideals and homoderivations in 3-Prime Near-Ring
Boletim da Sociedade Paranaense de MatemáticaIn this article, we study the structure of a near-rings N involving a homoderivations satisfying certain constraints on a nonzero Lie right ideal of near ...
Abdelkarim Boua +2 more
core +4 more sources
BarekengLet be a set equipped with two binary operations, addition and multiplication . The triple is a Lie ring if its multiplication is the Lie bracket commutator defined by for every .
Suffi Nuralesa +5 more
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HOMODERIVATIONS ON RINGS: STRUCTURAL PROPERTIES AND CHARACTERIZATIONS
BarekengResearch in ring theory has produced major advances, particularly in the study of derivations. A related notion is that of a homoderivation, which combines aspects of derivations and ring homomorphisms. An additive map is called a homoderivation if ,
Desi Widiarti +2 more
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On *- Derivations and ∗ - Homoderivations of ∗- Prime Semirings
Malaya Journal of MatematikIn this paper, *- derivations, reverse *- derivations and left *- derivations with period 2 of ∗- prime semiringsare characterized. The action of these derivations on ideals of ∗- prime semirings are also investigated. Also, well known results of [6,7] are extended on additively regular ∗- prime semirings. In addition, the extension to Posner’s theorem
Madhu Bala Dadhwal, Sanjeev Kumar
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On centrally-extended $ n $-homoderivations on rings
AIMS MathematicsIn this article, we explored the commutativity of a ring $ \Lambda $ that is equipped with a unique class of mappings called centrally extended $ n $-homoderivations, where $ n $ is an integer. These mappings generalize the concepts of derivations and homoderivations. Furthermore, we investigated specific properties of the center of such rings.
M. S. Tammam El-Sayiad, Munerah Almulhem
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