Defining identities for mono and binary Zinbiel algebras


Ismailov N., Mashurov F., Smadyarov N.

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2022
  • Doi Number: 10.1142/s0219498823501657
  • Journal Name: JOURNAL OF ALGEBRA AND ITS APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Keywords: Dual Leibniz algebras, polynomial identities, LEIBNIZ, VARIETY
  • Süleyman Demirel University Affiliated: No

Abstract

An algebra is said to be a mono Zinbiel algebra if each of its one-generated subalgebra is a Zinbiel algebra. An algebra is said to be a binary Zinbiel algebra if each of its two-generated subalgebra is a Zinbiel algebra. We give an independent set of defining identities for mono and binary Zinbiel algebras.