Notes on Jordan (sigma, tau)*-derivations and Jordan triple (sigma, tau)*-derivations

作者：Golbasi Oznur^*; Koc Emine

来源：Aequationes Mathematicae, 2013, 85(3): 581-591.

DOI：10.1007/s00010-012-0149-7

• Semiprime *-ring
• *-derivation
• (sigma, tau)*-derivation
• Jordan (sigma, tau)*-derivation
• Jordan triple (sigma, tau)*-derivation
• generalized Jordan (sigma, tau)*-derivation
• generalized Jordan triple (sigma, tau)*-derivation

Let R be a 2-torsion free semiprime *-ring, sigma, tau two epimorphisms of R and f, d : R -> R two additive mappings. In this paper we prove the following results: (i) d is a Jordan (sigma, tau)*-derivation if and only if d is a Jordan triple (sigma, tau)*-derivation. (ii) f is a generalized Jordan (sigma, tau)*-derivation if and only if f is a generalized Jordan triple (sigma, tau)*-derivation.

• 出版日期2013-6