Èksponencialʹnyj rost korazmernostej toždestv algebr s edinicej

Zaicev, Mikhail (author), Repovš, Dušan (author)

• Language: Russian
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Year: 2015
• Number of pages: Str. 103-126
• Numbering: T. 206, no. 10
• PID: 20.500.12556/RUL-112542
• UDC: 512.57
• ISSN on article: 0368-8666
• DOI: http://dx.doi.org/10.4213/sm8454
• COBISS.SI-ID: 17462873

Note

Angleški prevod v:ZAICEV, Mikhail, REPOVŠ, Dušan. Exponential growth of codimensions of identities of algebras with unity. Sbornik, Mathematics, ISSN 1064-5616. [Print ed.], 2015, vol. 206, no. 10, str. 1440-1462. http://dx.doi.org/10.1070/SM2015v206n10ABEH004501. [COBISS.SI-ID 17554777],

• Publication date in RUL: 23.10.2019

Record is a part of a journal

• Title: Matematičeskij sbornik
• Shortened title: Mat. sb.
• Publisher: Nauka
• ISSN: 0368-8666
• COBISS.SI-ID: 5292295

Secondary language

• Language: English
• Title: Exponential growth of codimensions of identities of algebras with unity

Abstract

The asymptotic behaviour is studied of exponentially bounded sequences of codimensions of identities of algebras with unity. A series of algebras is constructed for which the base of the exponential increases by exactly 1 when an outer unity is adjoined to the original algebra. It is shown that the PI-exponents of unital algebras can take any value greater than 2, and the exponents of finite-dimensional unital algebras form a dense subset in the domain ▫$ \lbrack 2,\infty)$▫.

• Keywords: matematika, identitete, kodimenzija, eksponentna rast, mathematics, identities, codimension, exponential growth