On free subalgebras of varieties
Renato Fehlberg J\'unior, Javier S\'anchez
TL;DR
This paper extends known results about free associative algebras to a broader context of algebraic varieties, demonstrating their applicability beyond specific algebra types.
Contribution
It generalizes previous findings on free associative algebras to varieties of algebras, broadening the scope of these results.
Findings
Results of Makar-Limanov, Malcolmson, Reichstein are valid in varieties of algebras.
Establishes the existence of free subalgebras in broader algebraic contexts.
Enhances understanding of algebraic structures within varieties.
Abstract
We show that some results of L. Makar-Limanov, P. Malcolmson and Z. Reichstein on the existence of free associative algebras are valid in the more general context of varieties of algebras.
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Algebra and Logic · Rings, Modules, and Algebras