Malcev classification for the variety of associative algebras

2026

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DOI 10.1142/s1793557126500695
Data confidence 70 medium
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Abstract

In this paper, we consider four types of subvarieties of the variety of associative algebras. We show their connections with well-known classes of algebras, such as dendriform algebras and noncommutative Novikov algebras. Finally, we define the commutator and anti-commutator operations on these algebras and derive several identities satisfied by these operations.