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

Bibliographical note

Publisher Copyright:
© 2023 Elsevier Inc.

Funding

This work was supported by Israel Science Foundation , grant No 1994/20 . We are grateful to Professor A.V. Mikhalev, who past away 27-th of October of 2022, for useful discussions and to the referee for his/her remarks and suggestions. This work was supported by Israel Science Foundation, grant No 1994/20. The authors are also deeply grateful to the referee: her/his suggestions improved significantly the exposition of the paper. The second author wants to thank GNSAGA of Istituto Nazionale di Alta Matematica (INDAM).

Funders	Funder number
Istituto Nazionale di Alta Matematica "Francesco Severi"
Israel Science Foundation	1994/20

Keywords

Hilbert series
PI-algebra
Regular word
T-space

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10.1016/j.jalgebra.2023.03.018

Cite this

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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.",

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Hilbert series of T-spaces

Abstract

Bibliographical note

Funding

Keywords

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