STRONG SKEW COMMUTATIVITY PRESERVING MAPS ON RINGS

DOI10.1017/S1446788715000476zbMath1339.16038MaRDI QIDQ2788671

Lei Liu

Publication date: 22 February 2016

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

prime ringsrings with involutionstrong skew commutativity preserving mapssymmetric idempotentssymmetric central elements

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Generalizations of commutativity (associative rings and algebras) (16U80) Commutators, derivations, elementary operators, etc. (47B47) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Functional identities (associative rings and algebras) (16R60)

Related Items (4)

Strong bi-skew commutativity preserving maps on von Neumann algebras ⋮ Unnamed Item ⋮ Strong 3-skew commutativity preserving maps on prime rings with involution ⋮ Strong 2-skew commutativity preserving maps on prime rings with involution

Cites Work

• Strong skew commutativity preserving maps on von Neumann algebras
• A condition for a subspace of \({\mathcal B} (H)\) to be an ideal
• Maps preserving strong skew Lie product on factor von Neumann algebras
• Lie homomorphisms of operator algebras
• On maps preserving zeros of the polynomial \(xy - yx^\ast\)
• Linear maps preserving elements annihilated by the polynomial XY-YX^†

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