Defining identities for mono and binary Zinbiel algebras

2022

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DOI 10.1142/s0219498823501657
Data confidence 70 medium
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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.