On a Class of Subsemigroup Lattices

On a Class of Subsemigroup Lattices Full article

Journal

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

Output data

Year: 2020, Volume: 61, Number: 5, Pages: 941-952 Pages count : 12 DOI: 10.1134/S0037446620050171

Tags

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

Authors

Schwidefsky M.V. ^1,2,3

Affiliations

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

DB	Citing
Scopus	1
OpenAlex	1
Web of science	1