On a Class of Subsemigroup Lattices

Standard

On a Class of Subsemigroup Lattices. / Schwidefsky, M. V.

In: Siberian Mathematical Journal, Vol. 61, No. 5, 01.09.2020, p. 941-952.

Research output: Contribution to journal › Article › peer-review

Harvard

Schwidefsky, MV 2020, 'On a Class of Subsemigroup Lattices', Siberian Mathematical Journal, vol. 61, no. 5, pp. 941-952. https://doi.org/10.1134/S0037446620050171

APA

Schwidefsky, M. V. (2020). On a Class of Subsemigroup Lattices. Siberian Mathematical Journal, 61(5), 941-952. https://doi.org/10.1134/S0037446620050171

Vancouver

Schwidefsky MV. On a Class of Subsemigroup Lattices. Siberian Mathematical Journal. 2020 Sept 1;61(5):941-952. doi: 10.1134/S0037446620050171

Author

Schwidefsky, M. V. / On a Class of Subsemigroup Lattices. In: Siberian Mathematical Journal. 2020 ; Vol. 61, No. 5. pp. 941-952.

BibTeX

@article{21cff2cc3e234df29192bf2ea401bee3,

title = "On a Class of Subsemigroup Lattices",

abstract = "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.",

keywords = "512.56, elementary type, lattice, Q-universality, semigroup",

author = "Schwidefsky, {M. V.}",

year = "2020",

month = sep,

day = "1",

doi = "10.1134/S0037446620050171",

language = "English",

volume = "61",

pages = "941--952",

journal = "Siberian Mathematical Journal",

issn = "0037-4466",

publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",

number = "5",

}

RIS

TY - JOUR

T1 - On a Class of Subsemigroup Lattices

AU - Schwidefsky, M. V.

PY - 2020/9/1

Y1 - 2020/9/1

N2 - 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.

AB - 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.

KW - 512.56

KW - elementary type

KW - lattice

KW - Q-universality

KW - semigroup

UR - http://www.scopus.com/inward/record.url?scp=85091667002&partnerID=8YFLogxK

U2 - 10.1134/S0037446620050171

DO - 10.1134/S0037446620050171

M3 - Article

AN - SCOPUS:85091667002

VL - 61

SP - 941

EP - 952

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 5

ER -

ID: 25685673