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

نتاج البحث: نشر في مجلة › مقالة › مراجعة النظراء

2 اقتباسات (Scopus)

ملخص

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.

اللغة الأصلية	الإنجليزيّة
الصفحات (من إلى)	350-361
عدد الصفحات	12
دورية	Journal of Algebra
مستوى الصوت	628
المعرِّفات الرقمية للأشياء	https://doi.org/10.1016/j.jalgebra.2023.03.018
حالة النشر	نُشِر - 15 أغسطس 2023

الوصول إلى المستند

10.1016/j.jalgebra.2023.03.018

الملفات والروابط الأخرى

Link to publication in Scopus

قم بذكر هذا

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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",

note = "Publisher Copyright: {\textcopyright} 2023 Elsevier Inc.",

year = "2023",

month = aug,

day = "15",

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

language = "אנגלית",

volume = "628",

pages = "350--361",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

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TY - JOUR

T1 - Hilbert series of T-spaces

AU - Belov, A. Ya

AU - Centrone, L.

AU - Malev, S.

PY - 2023/8/15

Y1 - 2023/8/15

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 - http://www.scopus.com/inward/record.url?scp=85151686040&partnerID=8YFLogxK

U2 - 10.1016/j.jalgebra.2023.03.018

DO - 10.1016/j.jalgebra.2023.03.018

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AN - SCOPUS:85151686040

SN - 0021-8693

VL - 628

SP - 350

EP - 361

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Hilbert series of T-spaces

ملخص

الوصول إلى المستند

الملفات والروابط الأخرى

بصمة

قم بذكر هذا