ω-Independent Bases for Quasivarieites of Torsion-Free Groups

Autor:	A. I. Budkin
Rok vydání:	2019
Předmět:	Combinatorics 010201 computation theory & mathematics Logic 010102 general mathematics Torsion (algebra) 0102 computer and information sciences 0101 mathematics 01 natural sciences Analysis Cardinality of the continuum Mathematics
Zdroj:	Algebra and Logic. 58:214-223
ISSN:	1573-8302 0002-5232
DOI:	10.1007/s10469-019-09539-x
Popis:	It is proved that there exists a set ℛ of quasivarieties of torsion-free groups which (a) have an ω-independent basis of quasi-identities in the class 𝒦0 of torsion-free groups, (b) do not have an independent basis of quasi-identities in 𝒦0, and (c) the intersection of all quasivarieties in ℛ has an independent quasi-identity basis in 𝒦0. The collection of such sets ℛ has the cardinality of the continuum.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::fdffcbbf96e7115cac36d23262d34c92 https://doi.org/10.1007/s10469-019-09539-x Zobrazit plný text záznamu Full text from SpringerLink