Free Algebras in Mal'cev-Type Subvarieties of Associative Algebras

Published 5 Oct 2025 in math.RA | (2510.04181v1)

Abstract: In this paper, we study free algebras in subvarieties of the variety of associative algebras singled out by Mal'cev's classification. For each subvariety, we construct the bases for the corresponding free algebras and describe the space of symmetric polynomials they contain.

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