Results 91 to 100 of about 427 (170)

A Study on Derivations in Rings with Engel Conditions

, 2016
Master of Science-Mathematics and ComputingRing theory is a showpiece of mathematical uni cation, bringing together several branches of the subject and creating a powerful machine for the study of problems of considerable historical and mathematical ...
Prashu
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IDENTITIES WITH MULTIPLICATIVE GENERALIZED (α,α)-DERIVATIONS OF SEMIPRIME RINGS

Let R be a semiprime ring and α be an automorphism of R. A mapping F : R → R (not necessarily additive) is called multiplicative generalized (α,α)derivation if there exists a unique (α,α)-derivation d of R such that F(xy) = F(x)α(y) + α(x)d(y) for all x ...
Ayran, Ayşe, Aydın, Neşet, Sandhu, Gurninder Singh   +2 more
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Generalized lie ideals and derivations in prime rings [PDF]

, 2010
Fen Bilimleri Enstitüsü, Matematik Ana Bilim DalıHalka Teoride, bir halkanın değişmeli olup olmadığına onun bir alt kümesi, türev veya polinom özdeşliği yardımı ile karar verebilmek oldukça önemli bir problem olarak karşımıza çıkmaktadır.Bir halkanın ...
Sergin, Salih
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Derivations of higher order and commutativity of rings [PDF]

Pacific Journal of Mathematics, 1982
Chung, L. O., Luh, Jiang
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(\(\vartheta\), \(\vartheta\))-Derivations and \(\vartheta\)-Centralizers of Prime Rings

This paper examines the interaction between nonzero (\(\vartheta\), \(\vartheta\))-derivations and nonzero \(\vartheta\)-centralizers in prime rings, where \(\vartheta\) is an automorphism. The study considers a sequence of algebraic identities involving
Dunya Mohamed Hameed, Afrah Mohammed Ibraheem, Maysaa Zaki Salman   +2 more
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On b-generalized derivations and commutativity of prime rings

Revista Colombiana de Matemáticas
Let A be a prime ring, Z(A) its center, Q its right Martindale quotient ring, C its extended centroid, ψ a non-zero b-generalized derivation of A with associated map ξ. In this article, we prove that: (i) If [ψ(x), ψ(y)] = 0 for all x, y ∈ A, then A is either commutative or there exists q ∈ Q such that ξ = ad(q), ψ(x) = -bxq, and qb = 0. (ii) If ψ(x) ◦
Alnoghashi, Hafedh M., Nisar, Junaid, Rehman, Nadeem Ur, Al-Omary, Radwan M.   +3 more
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Positive derivations on lattice ordered rings of matrices

, 2007
Here we consider a commutative l-ring R with unit. We show that the only positive derivation on the l-ring Mn(R) is 0 if and only if the only positive derivation on R is zero.
Pajoohesh, Homeira
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Commuting Jordan Derivations on Triangular Rings Are Zero

Mathematical Notes
The main purpose of this article is to show that every commuting Jordan derivation on triangular rings (unital or not) is identically zero. Using this result, we prove that if $\mathcal{A}$ is a 2-torsion free ring such that it is either semiprime or satisfies Condition (P), then every commuting Jordan derivation from $\mathcal{A}$ into itself, under ...
Hosseini, Amin, Jing, Wu
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Derivations and some functional identities in semiprime rings

, 2018
Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie. Wydział Matematyczno-Fizyczno-Techniczny. Instytut Matematyki. Rozprawa doktorska - promotor: prof. dr hab. Orest D. Artemovych, promotor pomocniczy: dr Marcin Skrzyński.Rozprawa dotyczy
Kular, Kamil
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Derivations, products of derivations, and commutativity in near-rings

, 2001
For a zero-symmetric 3-prime near-ring N, we study three kinds of conditions: (a) conditions involving two derivations d(1), d(2) which imply that d(1) = 0 or d(2) = 0; (b) conditions involving derivations which force (N, +) to be abelian or N to be a ...
Bell, HE, Argac, N
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