LATTICES IN GENERATIVE CLASSES

被引：0

作者：

Kiouvrekis, Y. ^{[1
,2
]}

Stefaneas, P. ^{[1
]}

Sudoplatov, S., V ^{[3
,4
,5
]}

机构：

[1] Natl Tech Univ Athens, Dept Math, 9 Herron Polytechniou, Zografos 15780, Greece

[2] Univ Thessaly, Med Dept, Lab Med Phys & Informat, Thessaly, Greece

[3] Sobolev Inst Math, 4 Academician Koptyug Ave, Novosibirsk 630090, Russia

[4] Novosibirsk State Tech Univ, 20 K Marx Ave, Novosibirsk 630073, Russia

[5] Novosibirsk State Univ, 1 Pirogova Str, Novosibirsk 630090, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2019年 / 16卷

关键词：

lattice; generative class; generic structure; linear order; Boolean algebra; CONSTRUCTIONS;

D O I：

10.33048/semi.2019.16.123

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：1752 / 1761

页数：10

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