Structure of Quasivariety Lattices. I. Independent Axiomatizability

A. V. Kravchenko; A. M. Nurakunov; M. V. Schwidefsky

doi:10.1007/s10469-019-09516-4

Structure of Quasivariety Lattices. I. Independent Axiomatizability

A. V. Kravchenko, A. M. Nurakunov, M. V. Schwidefsky

Кафедра дискретной математики и информатики ММФ и СУНЦ

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

9 Цитирования (Scopus)

Аннотация

We find a sufficient condition for a quasivariety K to have continuum many subquasivarieties that have no independent quasi-equational bases relative to K but have ω-independent quasi-equational bases relative to K. This condition also implies that K is Q-universal.

Язык оригинала	английский
Страницы (с-по)	445-462
Число страниц	18
Журнал	Algebra and Logic
Том	57
Номер выпуска	6
DOI	https://doi.org/10.1007/s10469-019-09516-4
Состояние	Опубликовано - 15 янв 2019

Доступ к документу

10.1007/s10469-019-09516-4

Link to publication in Scopus

Цитировать

@article{23cd93cb533940acbc44c1accc9f261f,

title = "Structure of Quasivariety Lattices. I. Independent Axiomatizability",

abstract = "We find a sufficient condition for a quasivariety K to have continuum many subquasivarieties that have no independent quasi-equational bases relative to K but have ω-independent quasi-equational bases relative to K. This condition also implies that K is Q-universal.",

keywords = "independent basis, Q-universality, quasi-identity, quasivariety, quasivariety lattice, UNIVERSAL QUASIVARIETIES",

author = "Kravchenko, {A. V.} and Nurakunov, {A. M.} and Schwidefsky, {M. V.}",

year = "2019",

month = jan,

day = "15",

doi = "10.1007/s10469-019-09516-4",

language = "English",

volume = "57",

pages = "445--462",

journal = "Algebra and Logic",

issn = "0002-5232",

publisher = "Springer US",

number = "6",

}

Structure of Quasivariety Lattices. I. Independent Axiomatizability. / Kravchenko, A. V.; Nurakunov, A. M.; Schwidefsky, M. V.

В: Algebra and Logic, Том 57, № 6, 15.01.2019, стр. 445-462.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

TY - JOUR

T1 - Structure of Quasivariety Lattices. I. Independent Axiomatizability

AU - Kravchenko, A. V.

AU - Nurakunov, A. M.

AU - Schwidefsky, M. V.

PY - 2019/1/15

Y1 - 2019/1/15

N2 - We find a sufficient condition for a quasivariety K to have continuum many subquasivarieties that have no independent quasi-equational bases relative to K but have ω-independent quasi-equational bases relative to K. This condition also implies that K is Q-universal.

AB - We find a sufficient condition for a quasivariety K to have continuum many subquasivarieties that have no independent quasi-equational bases relative to K but have ω-independent quasi-equational bases relative to K. This condition also implies that K is Q-universal.

KW - independent basis

KW - Q-universality

KW - quasi-identity

KW - quasivariety

KW - quasivariety lattice

KW - UNIVERSAL QUASIVARIETIES

UR - http://www.scopus.com/inward/record.url?scp=85063969516&partnerID=8YFLogxK

U2 - 10.1007/s10469-019-09516-4

DO - 10.1007/s10469-019-09516-4

M3 - Article

AN - SCOPUS:85063969516

VL - 57

SP - 445

EP - 462

JO - Algebra and Logic

JF - Algebra and Logic

SN - 0002-5232

IS - 6

ER -

Structure of Quasivariety Lattices. I. Independent Axiomatizability

Аннотация

Доступ к документу

Fingerprint

Цитировать