Defining identities for mono and binary Zinbiel algebras

Ismailov, Nurlan; Mashurov, Farukh; Smadyarov, Nurken

doi:10.1142/s0219498823501657

Defining identities for mono and binary Zinbiel algebras

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Ismailov N., Mashurov F., Smadyarov N.

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, vol.22, no.08, 2023 (SCI-Expanded)

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.