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Lattices in generative classes. / Kiouvrekis, Yiannis; Stefaneas, Petros; Sudoplatov, Sergey Vladimirovich.

в: Сибирские электронные математические известия, Том 16, 01.01.2019, стр. 1752-1761.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Kiouvrekis, Y, Stefaneas, P & Sudoplatov, SV 2019, 'Lattices in generative classes', Сибирские электронные математические известия, Том. 16, стр. 1752-1761. https://doi.org/10.33048/semi.2019.16.123

APA

Kiouvrekis, Y., Stefaneas, P., & Sudoplatov, S. V. (2019). Lattices in generative classes. Сибирские электронные математические известия, 16, 1752-1761. https://doi.org/10.33048/semi.2019.16.123

Vancouver

Kiouvrekis Y, Stefaneas P, Sudoplatov SV. Lattices in generative classes. Сибирские электронные математические известия. 2019 янв. 1;16:1752-1761. doi: 10.33048/semi.2019.16.123

Author

Kiouvrekis, Yiannis ; Stefaneas, Petros ; Sudoplatov, Sergey Vladimirovich. / Lattices in generative classes. в: Сибирские электронные математические известия. 2019 ; Том 16. стр. 1752-1761.

BibTeX

@article{5ced2502b0d64e03b262d40948c9885b,
title = "Lattices in generative classes",
abstract = "We define and study lattices in generative classes associated with generic structures. It is shown that these lattices can be non-distributive and, moreover, arbitrary enough. Heights and wights of the lattices are described. A model-theoretic criterion for the linear ordering is proved and these linear orders are described. Boolean algebras generated by the considered lattices are also described.",
keywords = "Boolean algebra, Generative class, Generic structure, Lattice, Linear order",
author = "Yiannis Kiouvrekis and Petros Stefaneas and Sudoplatov, {Sergey Vladimirovich}",
year = "2019",
month = jan,
day = "1",
doi = "10.33048/semi.2019.16.123",
language = "English",
volume = "16",
pages = "1752--1761",
journal = "Сибирские электронные математические известия",
issn = "1813-3304",
publisher = "Sobolev Institute of Mathematics",

}

RIS

TY - JOUR

T1 - Lattices in generative classes

AU - Kiouvrekis, Yiannis

AU - Stefaneas, Petros

AU - Sudoplatov, Sergey Vladimirovich

PY - 2019/1/1

Y1 - 2019/1/1

N2 - We define and study lattices in generative classes associated with generic structures. It is shown that these lattices can be non-distributive and, moreover, arbitrary enough. Heights and wights of the lattices are described. A model-theoretic criterion for the linear ordering is proved and these linear orders are described. Boolean algebras generated by the considered lattices are also described.

AB - We define and study lattices in generative classes associated with generic structures. It is shown that these lattices can be non-distributive and, moreover, arbitrary enough. Heights and wights of the lattices are described. A model-theoretic criterion for the linear ordering is proved and these linear orders are described. Boolean algebras generated by the considered lattices are also described.

KW - Boolean algebra

KW - Generative class

KW - Generic structure

KW - Lattice

KW - Linear order

UR - http://www.scopus.com/inward/record.url?scp=85078958169&partnerID=8YFLogxK

U2 - 10.33048/semi.2019.16.123

DO - 10.33048/semi.2019.16.123

M3 - Article

AN - SCOPUS:85078958169

VL - 16

SP - 1752

EP - 1761

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

ER -

ID: 23428487