Hilbert series of T-spaces

被引：1

作者：

Belov, A. Ya. ^{[1
,2
]}

Centrone, L. ^{[2
]}

Malev, S. ^{[3
]}

机构：

[1] Bar Ilan Univ, Ramat Gan, Israel

[2] Univ Bari, Bari, Italy

[3] Ariel Univ Samaria, Ariel, Israel

来源：

JOURNAL OF ALGEBRA | 2023年 / 628卷

基金：

以色列科学基金会;

关键词：

Hilbert series; PI-algebra; Regular word; T-space; CENTRAL POLYNOMIALS; GRADED ALGEBRAS; PI-ALGEBRAS; IDENTITIES; REPRESENTABILITY; CODIMENSIONS; RATIONALITY; IDEALS;

D O I：

10.1016/j.jalgebra.2023.03.018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.(c) 2023 Elsevier Inc. All rights reserved.

引用

页码：350 / 361

页数：12

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