On representation of finite lattices

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

doi:10.1007/s00012-019-0588-2

On representation of finite lattices

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

5 Цитирования (Scopus)

Аннотация

In an earlier article, the authors found sufficient conditions for complexity of the lattice of subquasivarieties of a quasivariety. In the present article, we prove that these conditions allow us to represent finite lattices as relative congruence lattices and relative variety lattices in a uniform way. Some applications are presented.

Язык оригинала	английский
Номер статьи	15
Число страниц	17
Журнал	Algebra Universalis
Том	80
Номер выпуска	1
DOI	https://doi.org/10.1007/s00012-019-0588-2
Состояние	Опубликовано - 1 мар. 2019

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10.1007/s00012-019-0588-2

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abstract = "In an earlier article, the authors found sufficient conditions for complexity of the lattice of subquasivarieties of a quasivariety. In the present article, we prove that these conditions allow us to represent finite lattices as relative congruence lattices and relative variety lattices in a uniform way. Some applications are presented.",

keywords = "Congruence, Quasivariety, Variety, CONGRUENCE LATTICES, ALGEBRAS",

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

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KW - Quasivariety

KW - Variety

KW - CONGRUENCE LATTICES

KW - ALGEBRAS

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On representation of finite lattices

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