Results 151 to 160 of about 427 (170)

ON THE COMMUTATIVITY OF PRIME RINGS WITH DERIVATION

Quaestiones Mathematicae, 1999
Abstract We study commutativity of prime rings R such that d(S) is central, where d is a non-zero derivation and S a suitably-chosen subset of R.
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Higher derivations and commutativity in lattice-ordered rings

Positivity, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andima, S., Pajoohesh, H.
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COMMUTATIVITY FOR RINGS WITH INVOLUTION INVOLVING GENERALIZED DERIVATIONS

JP Journal of Algebra, Number Theory and Applications, 2018
Summary: In the present paper, we study some new results for a prime ring with involution \((\mathcal{R},\ast)\) which admits generalized derivations \(F\), \(G\) and \(H\) satisfying various identities. Further, examples are given to show that the restrictions imposed on the hypothesis of our results are not superfluous.
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ON COMMUTATIVITY OF SEMIPRIME RINGS WITH GENERALIZED DERIVATIONS

2019
Let R be an associative ring. An additive mapping f : R -> R is called a generalized derivation if there exists a derivation d : R -> R such that f (xy) f (x)y + xd(y), for all x, y E R. In this paper, we explore the commutativity of semiprime rings admitting generalized derivations f and g such that one of the following holds for all x, y is an ...
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Square-zero derivations of matrix algebras over commutative rings

Linear and Multilinear Algebra, 2010
Dengyin Wang
exaly  

Prime Lie rings of derivations of commutative rings in characteristic 2

Journal of Algebra, 2007
Chia-Hsin Liu
exaly  

On prime and semiprime rings with generalized derivations and non-commutative Banach algebras

Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 2016
Mohd Raza, Nadeem Ur Rehman
exaly  

Derivations of the intermediate Lie algebras between the Lie algebra of diagonal matrices and that of upper triangular matrices over a commutative ring

Linear and Multilinear Algebra, 2006
Shikun Ou, Dengyin Wang
exaly  

GENERALIZED DERIVATIONS ON SEMIPRIME RINGS

Bulletin of the Korean Mathematical Society, 2011
Vincenzo de Filippis, Shuliang Huang
exaly  

2-Local derivations on associative and Jordan matrix rings over commutative rings

Linear Algebra and Its Applications, 2017
Farhodjon Arzikulov, Shavkat Ayupov
exaly