Defining identities for mono and binary Zinbiel algebras
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, vol.22, no.08, 2023 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 22 Issue: 08
- Publication Date: 2023
- 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.