Teorija formalʹnyh jazykov i toždestva neassociativnyh algebr

Zaicev, Mikhail V. (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: 2020
• Number of pages: Str. 322-329
• Numbering: T. 61, no. 2
• PID: 20.500.12556/RUL-116893
• UDC: 512.57
• ISSN on article: 0037-4474
• DOI: 10.33048/smzh.2020.61.207
• COBISS.SI-ID: 19480579

Note

Angleški prevod v: ZAICEV, Mikhail, REPOVŠ, Dušan. The theory of formal languages and identities of nonassociative algebras. Siberian mathematical journal, ISSN 0037-4466, March 2020, vol. 61, iss. 2, pp. 255-260. https://link.springer.com/article/10.1134/S003744662002007X. [COBISS.SI-ID 19480835]

• Publication date in RUL: 15.06.2020

Record is a part of a journal

• Title: Sibirskij matematičeskij žurnal
• Shortened title: Sib. mat. ž.
• Publisher: Nauka
• ISSN: 0037-4474
• COBISS.SI-ID: 26390016

Secondary language

• Language: English
• Title: The theory of formal languages and identities of nonassociative algebras

Abstract

We consider the numerical characteristics of identities of nonassociative algebras and propose a method for constructing some algebra ▫$A(w)$▫ with prescribed properties of the codimension growth function. The growth of codimensions of ▫$A(w)$▫ is completely determined by the combinatorial complexity of the language of subwords of ▫$w$▫.

• Keywords: identity, codimension, binary word, combinatorial complexity