Z[sub]2-graded codimensions of unital algebras

Dušan Repovš (Author), Mikhail Zaicev (Author)

Abstract

We study polynomial identities of nonassociative algebras constructed by using infinite binary words and their combinatorial properties. Infinite periodic and Sturmian words were first applied for constructing examples of algebras with an arbitrary real PI-exponent greater than one. Later, we used these algebras for a confirmation of the conjecture that PI-exponent increases precisely by one after adjoining an external unit to a given algebra. Here, we prove the same result for these algebras for graded identities and graded PI-exponent, provided that the grading group is cyclic of order two

Keywords

polynomial identities;graded algebras;codimensions;exponential growth;

Data

Language:	English
Year of publishing:	2018
Typology:	1.01 - Original Scientific Article
Organization:	UL FMF - Faculty of Mathematics and Physics
UDC:	512.554
COBISS:	18344281
ISSN:	0218-1967
Views:	448
Downloads:	329
Average score:	0 (0 votes)
Metadata:

Other data

Type (COBISS):	Article
Pages:	str. 483-500
Volume:	ǂVol. ǂ28
Issue:	ǂno. ǂ3
Chronology:	2018
DOI:	10.1142/S0218196718500224
ID:	11214246