Results 91 to 100 of about 2,745 (167)
Prime Structures in a Morita Context
, 2018 In this paper, we study on the primeness and semiprimeness of a Morita context related to the rings and modules. Necessary and sufficient conditions are investigated for an ideal of a Morita context to be a prime ideal and a semiprime ideal.
Calci, Mete Burak +3 more
core
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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Left centralizers on rings that are not semiprime
Rocky Mountain Journal of Mathematics, 2011 A (left) centralizer for an associative ring R is an additive map satisfying T(xy) = T(x)y for all x , y in R . A (left) Jordan centralizer for an associative ring R is an additive map satisfying T ( xy + yx ) = T ( x ) y + T ( y ) x for all x , y in R . We characterize rings with a Jordan centralizer T .
Hentzel, Irvin, El-Sayiad, M.S.
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Identities with derivations and automorphisms on semiprime rings
International Journal of Mathematics and Mathematical Sciences, 2005 The purpose of this paper is to investigate identities with derivations and automorphisms on semiprime rings. A classical result of Posner states that the existence of a nonzero centralizing derivation on a prime ring forces the ring to be commutative ...
Joso Vukman
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Fuzzy bipolar soft semiprime ideals in ordered semigroups. [PDF]
Heliyon, 2021 Aziz-Ul-Hakim, Khan H, Ahmad I, Khan A.
europepmc +1 more source
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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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
Permuting triderivations of prime and semiprime rings [PDF]
Miskolc Mathematical Notes, 2017 WOS ...
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