Results 91 to 100 of about 1,198,003 (194)
On nilpotent derivations of semiprime rings
Journal of Algebra, 1992 AbstractIn this paper we study nilpotent derivations of semiprime rings. An associative derivation d: R → R is an additive mapping on a ring R satisfying d(xy) = d(x) y + xd(y) for all x, y ϵ R. A derivation d: R → R is called inner if d= ad x for some x ϵ R, where ad x(y) = xy − yx.
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Fuzzy bipolar soft semiprime ideals in ordered semigroups. [PDF]
Heliyon, 2021 Aziz-Ul-Hakim, Khan H, Ahmad I, Khan A.
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On commutativity of rings with generalized derivations
Journal of the Egyptian Mathematical Society, 2016 Let R be a prime ring, extended centroid C, Utumi quotient ring U, and m, n ≥ 1 are fixed positive integers, F a generalized derivation associated with a nonzero derivation d of R.
Nadeem ur Rehman +2 more
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On Semiprime Goldie Modules [PDF]
arXiv, 2016 For an $R$-module $M$, projective in $\sigma[M]$ and satisfying ascending chain condition (ACC) on left annihilators, we introduce the concept of Goldie module. We also use the concept of semiprime module defined by Raggi et. al. in \cite{S} to give necessary and sufficient conditions for an $R$-module $M$, to be a semiprime Goldie module. This theorem
arxiv
A Note on Power Values of Derivation in Prime and Semiprime Rings
Journal of Mathematical Extension, 2012 Let R be a ring with derivation d, such that (d(xy))n = (d(x))n (d(y))n for all x, y ∈ R and n > 1 a fixed integer. In this paper, we show that if R is prime, then d = 0 or R is commutative. If R is semiprime, then d maps R into its center. Moreover
Sh. Sahebi, V. Rahmani
doaj
The valued Gabriel quiver of a wedge product and semiprime coalgebras [PDF]
arXiv, 2010 We make a first approach to the representation theory of the wedge product of coalgebras by means of the description of its valued Gabriel quiver. Then we define semiprime coalgebras and study its category of comodules by the use of localization techniques.
arxiv
Permuting triderivations of prime and semiprime rings [PDF]
Miskolc Mathematical Notes, 2017 WOS ...
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International Journal of Mathematics and Mathematical Sciences, 1997 Let R be a prime ring of characteristic not 2, U a nonzero ideal of R and 0≠da(α,β)-derivation of R where α and β are automorphisms of R. i) [d(U),a]=0 then a∈Z ii) For a,b∈R, the following conditions are equivalent (I) α(a)d(x)=d(x)β(b), for all x∈U ...
Neşet Aydin
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