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

Fuente: arXiv
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Autori principali: Sartayev, B., Ydyrys, A.
Natura: Preprint
Pubblicazione: 2025
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author Sartayev, B.
Ydyrys, A.
author_facet Sartayev, B.
Ydyrys, A.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2510_04181
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Free Algebras in Mal'cev-Type Subvarieties of Associative Algebras
Sartayev, B.
Ydyrys, A.
Rings and Algebras
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.
title Free Algebras in Mal'cev-Type Subvarieties of Associative Algebras
topic Rings and Algebras
url https://arxiv.org/abs/2510.04181