Teorija formalʹnyh jazykov i toždestva neassociativnyh algebr

Mikhail Zaicev (Author), Dušan Repovš (Author)

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;

Data

Year of publishing:	2020
Typology:	1.01 - Original Scientific Article
Organization:	UL FMF - Faculty of Mathematics and Physics
UDC:	512.57
COBISS:	19480579
ISSN:	0037-4474
Views:	27
Downloads:	0
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	ǂThe ǂtheory of formal languages and identities of nonassociative algebras
Secondary 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 ▫$w$▫.
Secondary keywords:	identity;codimension;binary word;combinatorial complexity;
Type (COBISS):	Article
Source comment:	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]
Pages:	str. 322-329
Volume:	ǂT. ǂ61
Issue:	ǂno. ǂ2
Chronology:	2020
DOI:	10.33048/smzh.2020.61.207
ID:	11837783