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.
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页码：350 / 361
页数：12
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