Multiplicative (generalized)-reverse derivations in rings and Banach algebras


KOÇ SÖGÜTCÜ E.

Georgian Mathematical Journal, vol.30, no.4, pp.555-567, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 30 Issue: 4
  • Publication Date: 2023
  • Doi Number: 10.1515/gmj-2023-2024
  • Journal Name: Georgian Mathematical Journal
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Page Numbers: pp.555-567
  • Keywords: Banach algebras, derivation, ideal, multiplicative (generalized)-reverse derivation, radical, Semiprime ring
  • Sivas Cumhuriyet University Affiliated: Yes

Abstract

In this work, the subject of ideal in a semiprime ring with multiplicative (generalized)- reverse derivations studied is included. We give new essential results for researchers in this field and generalize some results found in the literature. Also, the application of continuous reverse derivations in Banach algebras is discussed for the first time.