Results 31 to 40 of about 88 (85)
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
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Weitzenböck Derivations and Classical Invariant Theory: I. Poincaré Series [PDF]
, 2010 2000 Mathematics Subject Classification: 13N15, 13A50, 16W25.By using classical invariant theory approach, formulas for computation of the Poincaré series of the kernel of linear locally nilpotent derivations are ...
Bedratyuk, Leonid
core
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this study, we investigate the behavior of semiprime ideals that satisfy certain algebraic identities using multiplicative (generalized) derivations. In addition, examples are provided to show that the limits imposed on the hypotheses of the different theorems are not superfluous.
Amal S. Alali +5 more
wiley +1 more source
On Jordan mappings of inverse semirings
Open Mathematics, 2017 In this paper, the notions of Jordan homomorphism and Jordan derivation of inverse semirings are introduced. A few results of Herstein and Brešar on Jordan homomorphisms and Jordan derivations of rings are generalized in the setting of inverse semirings.
Shafiq Sara, Aslam Muhammad
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A Note About the Nowicki Conjecture on Weitzenböck Derivations [PDF]
, 2009 2000 Mathematics Subject Classification: 13N15, 13A50, 16W25.We reduce the Nowicki conjecture on Weitzenböck derivations of polynomial algebras to a well known problem of classical invariant ...
Bedratyuk, Leonid
core
Effects of Generalized Semiderivations on Algebraic Identities Involving Prime Ideals
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this article, instead of a generalized derivation, we will use the concept of a generalized semiderivation ∇ that satisfies various identities involving a prime ideal ß of an optional ring Λ to describe the behavior of a quotient ring Λ/ß. We will use this concept to generalize some well‐known results that studied the behavior of a ring Λ via a ...
Kholood Alnefaie, Pramita Mishra
wiley +1 more source
On Jordan triple (σ,τ)-higher derivation of triangular algebra
Special Matrices, 2018 Let R be a commutative ring with unity, A = Tri(A,M,B) be a triangular algebra consisting of unital algebras A,B and (A,B)-bimodule M which is faithful as a left A-module and also as a right B-module.
Ashraf Mohammad +2 more
doaj +1 more source
A Pair of Generalized (α, α)‐Derivations With Identities Related to Prime Ideals
Journal of Mathematics, Volume 2025, Issue 1, 2025.Let A be an arbitrary ring, α an automorphism of A, I a nonzero ideal of A, and ϒ a prime ideal of A satisfying the condition ϒ⊊αI. This research investigates the interplay between two generalized (α, α)‐derivations, Ω and G (associated with (α, α)‐derivations f and h, respectively), and the resulting characteristics of the quotient ring A/ϒ.
Ali Yahya Hummdi +4 more
wiley +1 more source
Notes on near-ring ideals with (?, ? )-derivation
, 2015 In the present paper, we extend some well known results concerning derivations of prime near-rings in [4], [5] and [13] to (σ, τ )−derivations and semigroup ideals of prime near-rings.
Öznur Gölbaşı, Hasret Yazarlı
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Jordan left derivations in infinite matrix rings
Demonstratio MathematicaLet RR be a unital associative ring. Our motivation is to prove that left derivations in column finite matrix rings over RR are equal to zero and demonstrate that a left derivation d:T→Td:{\mathcal{T}}\to {\mathcal{T}} in the infinite upper triangular ...
Zhang Daochang +3 more
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