Atsushi NAKAJIMA

6191

Note on Generalized Jordan Derivations Associate with Hochschild 2-cocycles of Rings

We introduce a new type of generalized derivations associate with Hochschild 2-cocycles and prove that every generalized Jordan derivation of this type is a generalized derivation under certain conditions. This result contains the results of I. N. Herstein [6, Theorem 3.1] and M. Ashraf and N-U. Rehman [1, Theorem].

Anahtar Kelimeler:

Derivation, Jordan derivation, generalized derivation, generalized Jordan derivation, Hochschild 2-cocycle

Note on Generalized Jordan Derivations Associate with Hochschild 2-cocycles of Rings

We introduce a new type of generalized derivations associate with Hochschild 2-cocycles and prove that every generalized Jordan derivation of this type is a generalized derivation under certain conditions. This result contains the results of I. N. Herstein [6, Theorem 3.1] and M. Ashraf and N-U. Rehman [1, Theorem].

Keywords:

Derivation, Jordan derivation, generalized derivation, generalized Jordan derivation, Hochschild 2-cocycle,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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