Malcev classification for the variety of associative algebras

Key Points

• The aim is to explore and classify subvarieties of associative algebras and their properties.
• Consider four subvarieties of associative algebras.
• Establish connections with dendriform and noncommutative Novikov algebras.
• Define and analyze commutator and anti-commutator operations.
• Identified relationships among various types of associative algebras.
• Derived identities involving commutator and anti-commutator operations.
• Showed the significance of these identities in understanding algebraic structures.

Abstract