Nilpotent and invertible values in semiprime rings with generalized derivations.

DOI10.1007/s00010-010-0061-yzbMath1230.16032OpenAlexW1966764038MaRDI QIDQ719646

Shakir Ali, Asma Ali, Vincenzo De Filippis

Publication date: 11 October 2011

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/232939

zbMATH Keywords

semiprime ringsprime ringsgeneralized derivationsextended centroidinvertible valuesnilpotent values

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Derivations, actions of Lie algebras (16W25)

Related Items (4)

Derivations with annihilator conditions on Lie ideals in prime rings ⋮ Notes on generalized derivations and partial generalized automorphisms in prime rings ⋮ Generalized Skew Derivations with Nilpotent Values in Prime Rings ⋮ Subsets with Generalized Derivations Having Nilpotent Values on Lie Ideals

Cites Work

• Some commutativity theorems for rings with generalized derivations.
• Differential identities of prime rings
• Remarks on derivations on semiprime rings
• Rings with nil and power central \(k\)-th commutators
• A note on semiprime rings with derivation
• Generalized derivations and commutativity of prime rings.
• Prime rings satisfying a generalized polynomial identity
• Derivations in Prime Rings
• Gpis Having Coefficients in Utumi Quotient Rings
• Generalized derivations of left faithful rings
• Sums of Distinct Divisors and Sums of Distinct Units
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