Year: 2025
Type: article
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.
Author: Z. Normatov
Institutions: Academy of Sciences Republic of Uzbekistan, Jilin University
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4410091102