Search results for " central polynomials"

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MR2852326 Bekh-Ochir, C.; Rankin, S. A. Examples of associative algebras for which the T-space of central polynomials is not finitely based. Israel J…

2012

Settore MAT/02 - AlgebraT-spaces central polynomials
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Growth of central polynomials of algebras with involution

2021

Let A be an associative algebra with involution ∗ over a field of characteristic zero. A central ∗-polynomial of A is a polynomial in non- commutative variables that takes central values in A. Here we prove the existence of two limits called the central ∗-exponent and the proper central ∗-exponent that give a measure of the growth of the central ∗-polynomials and proper central ∗-polynomials, respectively. Moreover, we compare them with the PI-∗-exponent of the algebra.

polynomial identity central polynomials exponent cxdimension growthPure mathematicsSettore MAT/02 - AlgebraExponentInvolution (philosophy)Mathematics
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