Two results concerning symmetric bi-derivations on prime rings

DOI10.1007/BF02112294zbMath0716.16013MaRDI QIDQ752809

Joso Vukman

Publication date: 1990

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

Full work available at URL: https://eudml.org/doc/137372

zbMATH Keywords

prime ringsbi-additive symmetric mapssymmetric bi-derivations

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Generalizations of commutativity (associative rings and algebras) (16U80) Derivations, actions of Lie algebras (16W25) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Related Items (14)

Semigroup Ideals and Permuting 3-Derivations in Prime Near Rings ⋮ GENERALIZED (α, β)^*-DERIVATIONS AND RELATED MAPPINGS IN SEMIPRIME *-RINGS ⋮ On symmetric left bi-derivations in BCI-algebras ⋮ Unnamed Item ⋮ A note on inverse semirings with bi-derivations ⋮ Characterization of Lie biderivations on triangular rings ⋮ On the iterations of generalized bi-derivation on prime ring ⋮ Traces of permuting \(n\)-additive maps and permuting \(n\)-derivations of rings. ⋮ Prime and semiprime rings with symmetric skew 3-derivations. ⋮ On generalized left derivations in rings and Banach algebras. ⋮ Unnamed Item ⋮ On the module of differentials of a noncommutative algebra and symmetric biderivations of a semiprime algebra ⋮ On Prime and Semiprime Rings with Derivations ⋮ Unnamed Item

Cites Work

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• On some additive mappings in rings with involution
• Symmetric bi-derivations on prime and semi-prime rings
• Derivations in Prime Rings
• Centralizing Mappings of Prime Rings
• Commuting and Centralizing Mappings in Prime Rings
• Ideals and Centralizing Mappings in Prime Rings
• Centralizing Automorphisms of Prime Rings
• Centralizing Mappings of Semiprime Rings

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