Generalized derivation on semiprime and prime Banach algebras

Author:

Koç Sögütcü Emine1ORCID

Affiliation:

1. Department of Mathematics , Faculty of Science , Sivas Cumhuriyet University , Sivas , Türkiye

Abstract

Abstract In this study, the commutativity conditions with generalized derivations, which have not been examined before, are discussed. Under these conditions, the subject of generalized derivations in (semi)prime Banach algebras is studied. New fundamental results will be provided for researchers in this field and generalize some of the results found in the literature.

Publisher

Walter de Gruyter GmbH

Reference24 articles.

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2. S. Ali, V. De Filippis and M. Salahuddin Khan, Pair of derivations on semiprime rings with applications to Banach algebras, J. Algebra Comput. Appl. 3 (2013), no. 1, 1–13.

3. M. Ashraf, A. Ali and S. Ali, Some commutativity theorems for rings with generalized derivations, Southeast Asian Bull. Math. 31 (2007), no. 3, 415–421.

4. M. Ashraf and N.-u. Rehman, On commutativity of rings with derivations, Results Math. 42 (2002), no. 1–2, 3–8.

5. M. Ashraf, N. ur Rehman and M. A. Raza, A note on commutativity of semiprime Banach algebras, Beitr. Algebra Geom. 57 (2016), no. 3, 553–560.

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