Numerical invariants of identities of unital algebras

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

We study polynomial identities of algebras with adjoined external unit. For a wide class of algebras we prove that adjoining external unit element leads to increasing of PI-exponent precisely to 1. We also show that any real number from the interval $[2,3]$ can be realized as PI-exponent of some unital algebra.

• Language: English
• Keywords: codimension, exponential growth, fractional PI-exponent, non-associative unital algebra, polynomial identity
• 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. 3823-3839
• Numbering: Vol. 43, iss. 9
• PID: 20.500.12556/RUL-111407
• UDC: 512.552
• ISSN on article: 0092-7872
• DOI: http://dx.doi.org/10.1080/00927872.2014.924130
• COBISS.SI-ID: 17339737
• Publication date in RUL: 30.09.2019

REPOVŠ, Dušan and ZAICEV, Mikhail, 2015, Numerical invariants of identities of unital algebras. Communications in algebra [online]. 2015. Vol. 43, no. 9, p. 3823–3839. [Accessed 11 April 2025]. DOI http://dx.doi.org/10.1080/00927872.2014.924130. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=111407

Record is a part of a journal

• Title: Communications in algebra
• Shortened title: Commun. algebra
• Publisher: Taylor & Francis
• ISSN: 0092-7872
• COBISS.SI-ID: 25249792