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On a Class of Subsemigroup Lattices Научная публикация

Журнал

Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260

Вых. Данные

Год: 2020, Том: 61, Номер: 5, Страницы: 941-952 Страниц : 12 DOI: 10.1134/S0037446620050171

Ключевые слова

512.56; elementary type; lattice; Q-universality; semigroup

Авторы

Schwidefsky M.V. ^1,2,3

Организации

1	Sobolev Institute of Mathematics, Novosibirsk, Russian Federation
2	Novosibirsk State University, Novosibirsk, Russian Federation
3	Novosibirsk State Technical University, Novosibirsk, Russian Federation

Under study is the structure of subsemigroup lattices of semigroups of elementary types.We establish that the subsemigroup lattices of semigroups of elementary types are lattice-universal.Also, we show that, for a series of classes K of algebraic structures, each subsemigroup latticeof the semigroup of elementary types ofthe structures from K contains the ideal lattice of a free lattice of countable rank as a sublattice. © 2020, Pleiades Publishing, Ltd.

Schwidefsky M.V.
On a Class of Subsemigroup Lattices
Siberian Mathematical Journal. 2020. V.61. N5. P.941-952. DOI: 10.1134/S0037446620050171 WOS Scopus OpenAlex

Web of science:	WOS:000573304200017
Scopus:	2-s2.0-85091667002
OpenAlex:	W3090667821

БД	Цитирований
Scopus	1
OpenAlex	1
Web of science	1