Results 11 to 20 of about 205 (70)
Structure of weakly periodic rings with potent extended commutators [PDF]
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 5, Page 299-304, 2001., 2001 A well-known theorem of Jacobson (1964, page 217) asserts that a ring R with the property that, for each x in R, there exists an integer n(x)>1 such that xn(x)=x is necessarily commutative.
Adil Yaqub
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On Lie ideals and symmetric generalized (α, β)-biderivation in prime ring [PDF]
Miskolc Mathematical Notes, 2019 Let R be a prime ring with char.R/¤ 2. A biadditive symmetric map WR R!R is called symmetric . ̨;ˇ/-biderivation if, for any fixed y 2R, the map x 7! .x;y/ is a . ̨;ˇ/derivation. A symmetric biadditive map W R R! R is a symmetric generalized .
Huang, Shuliang, Rehman, Nadeem ur
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Subperiodic rings with conditions on extended commutators [PDF]
, 2013 Let R be a ring with Jacobson radical J and with center C. Let P be the set of potent elements x for which xk = x for some integer k > 1. Let N be the set of nilpotents. A ring R is called subperiodic if R \ (J ∪ C) ⊆ N + P .
A. Yaqub
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Some commutativity criteria involving endomorphism conditions on prime ideals
Hacettepe Journal of Mathematics and Statistics, 2022 In this paper we initiate a new approach consisting to characterize the commutativity of a quotient ring R/P by endomorphisms of R satisfying some algebraic identities involving the prime ideal P.
L. Oukhtite, A. Mamouni, M. Zerra
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On The Identity d(x) = λx + ζ(x)
Journal of Al-Rafidain University College For Sciences ( Print ISSN: 1681-6870 ,Online ISSN: 2790-2293 ), 2021 The main purpose of this paper is to study and investigate some results concerning generalized derivation D on semiprime ring R, where d a derivation on R and R has a cancellation property with identity.
M. Atteya, D. Resan
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Prime Gamma Rings with Centralizing and Commuting Generalized Derivations [PDF]
, 2016 Let M be a prime Γ-ring satisfying a certain assumption and D a nonzero derivation on M . Let f : M → M be a generalized derivation such that f is centralizing and commuting on a left ideal J of M . Then we prove that M is commutative.
Md Fazlul Hoque, A. C. Paul
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Hochschild homology and cohomology of Generalized Weyl algebras: the quantum case [PDF]
, 2011 We determine the Hochschild homology and cohomology of the generalized Weyl algebras of rank one which are of ‘quantum’ type in all but a few exceptional cases. 2010 MSC: 16E40, 16E65, 16U80, 16W50, 16W70.
A. Solotar +2 more
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Rings whose units commute with nilpotent elements
Mathematica, 2018 Rings with the property in the title are studied under the name of ”uni” rings. These are compared with other known classes of rings and since commutative rings and reduced rings trivially have this property, conditions which added to uni rings imply ...
G. Călugăreanu
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Traces of permuting generalized $n$-derivations of rings
, 2018 Let n 1 be a fixed positive integer and R be a ring. A permuting n-additive map ̋ W Rn ! R is known to be permuting generalized n-derivation if there exists a permuting nderivation W Rn ! R such that ̋.x1;x2; ;xix 0 i ; ;xn/ D ̋.x1;x2; ;xi ; ;xn/x 0 i C
M. Ashraf, Almas Khan, M. R. Jamal
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Some Results on (σ,τ)-Lie Ideals [PDF]
, 2007 In this note we give some basic results on one sided(σ,τ)-Lie ideals of prime rings with characteristic not 2.
Güven, Evrim +2 more
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