Hilbert series of T-spaces

A. Ya Belov; L. Centrone; S. Malev

doi:10.1016/j.jalgebra.2023.03.018

Hilbert series of T-spaces

A. Ya Belov
, L. Centrone
, S. Malev

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We show that the Hilbert series of a T-space in a free associative algebra A is either a rational function, or differs from the Hilbert series of the commutator [A,A] by a rational function.

Original language	English
Pages (from-to)	350-361
Number of pages	12
Journal	Journal of Algebra
Volume	628
DOIs	https://doi.org/10.1016/j.jalgebra.2023.03.018
State	Published - 15 Aug 2023

Keywords

Hilbert series
PI-algebra
Regular word
T-space

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10.1016/j.jalgebra.2023.03.018

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title = "Hilbert series of T-spaces",

abstract = "We show that the Hilbert series of a T-space in a free associative algebra A is either a rational function, or differs from the Hilbert series of the commutator [A,A] by a rational function.",

keywords = "Hilbert series, PI-algebra, Regular word, T-space",

author = "Belov, \{A. Ya\} and L. Centrone and S. Malev",

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year = "2023",

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doi = "10.1016/j.jalgebra.2023.03.018",

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AU - Belov, A. Ya

AU - Centrone, L.

AU - Malev, S.

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N2 - We show that the Hilbert series of a T-space in a free associative algebra A is either a rational function, or differs from the Hilbert series of the commutator [A,A] by a rational function.

AB - We show that the Hilbert series of a T-space in a free associative algebra A is either a rational function, or differs from the Hilbert series of the commutator [A,A] by a rational function.

KW - Hilbert series

KW - PI-algebra

KW - Regular word

KW - T-space

UR - https://www.scopus.com/pages/publications/85151686040

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SN - 0021-8693

VL - 628

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JO - Journal of Algebra

JF - Journal of Algebra

ER -

Hilbert series of T-spaces

Abstract

Keywords

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