Jordan delta-derivations of associative algebras. (English) Zbl 1371.16026

Kaygorodov, Ivan

J. Gen. Lie Theory Appl. 9, No. S1, Article ID 003, 3 p. (2015).

Summary: We describe the structure of Jordan \(\delta\)-derivations and Jordan \(\delta\)-prederivations of unital associative algebras. We give examples of nonzero Jordan \(\frac{1}{2}\)-derivations, but not \(\frac{1}{2}\)-derivations.

MSC:

16R50	Other kinds of identities (generalized polynomial, rational, involution)
16S50	Endomorphism rings; matrix rings
16W10	Rings with involution; Lie, Jordan and other nonassociative structures

Keywords:

\(\delta\)-derivation; Jordan \(\delta\)-derivation; associative algebra; triangular algebras