Compatible anti-pre-Lie algebras
Zafar NormatovInstitute of Mathematics, Uzbekistan Academy of Sciences, University Street, 9, Olmazor district, Tashkent 100174, Uzbekistan
ABI
Abstract
In this paper, we introduce the notion of compatible anti-pre-Lie algebras and study relationship between them and the related structures such as anti-[Formula: see text]-operators, commutative [Formula: see text]-cocycles on compatible Lie algebras. Moreover, we give the classification of 2-dimensional compatible anti-pre-Lie algebras from the classification of anti-pre-Lie algebras of the same dimension.
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