JORDAN *-DERIVATIONS OF PRIME RINGS

DOI10.1142/S0219498813501260zbMath1292.16037WikidataQ57787617 ScholiaQ57787617MaRDI QIDQ5414213

Tsiu-Kwen Lee, Yiqiang Zhou

Publication date: 2 May 2014

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

prime ringssymmetric elementsfunctional identitiesadditive mapsJordan derivationsrings with involutionPI ringsmaximal symmetric rings of quotientsX-inner derivations

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Derivations, actions of Lie algebras (16W25)

Related Items (16)

Weak Jordan *-derivations of prime rings ⋮ On centrally extended Jordan derivations and related maps in rings ⋮ Jordan τ-derivations of Prime Rings ⋮ A note on generalized Jordan \(*\)-derivations on prime \(*\)-rings ⋮ Jordan \(\tau \)-derivations of prime GPI-rings ⋮ Structure of generalized Jordan \(*\)-derivations on prime \(*\)-rings ⋮ Functional identities and their applications ⋮ On the characterization of generalized \((m, n)\)-Jordan \(*\)-derivations in prime rings ⋮ X -generalized skew derivations behaving as weak Jordan right η -centralizers in prime rings ⋮ Nonlinear Jordan derivations of incidence algebras ⋮ On n^th power ∗-property in ∗-rings with applications ⋮ Multiplicative Jordan *-derivations on rings with involution ⋮ Weak Jordan derivations of prime rings ⋮ On the structure of generalized Jordan *-derivations of prime rings ⋮ Bilinear forms on matrix algebras vanishing on zero products of \(xy\) and \(yx\) ⋮ Functional identities of degree 2 vanishing on zero products of XY and Y X

Cites Work

• Unnamed Item
• On some additive mappings in rings with involution
• On functional identities in prime rings with involution
• Generalized skew derivations characterized by acting on zero products.
• Jordan \(\tau\)-derivations of locally matrix rings.
• Rings with involution
• On quadratic functionals
• Some results on the center of a ring with polynomial identity

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