Demonstrates the connections between subvarieties of associative algebras and well-known algebra classes, suggesting new algebraic identities.
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.
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Kunanbayev et al. (2026) studied this question.
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