Defining identities for mono and binary Zinbiel algebras
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, cilt.22, sa.08, 2023 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 22 Sayı: 08
- Basım Tarihi: 2023
- Doi Numarası: 10.1142/s0219498823501657
- Dergi Adı: JOURNAL OF ALGEBRA AND ITS APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
- Anahtar Kelimeler: Dual Leibniz algebras, polynomial identities, LEIBNIZ, VARIETY
- Süleyman Demirel Üniversitesi Adresli: Hayır
Özet
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.