REPRESENTATION OF DISTRIBUTIVE ALGEBRAIC SPATIAL LATTICES BY CONGRUENCE LATTICES OF SEMIGROUPS AND GROUPOIDS

被引：0

作者：

Popovich, A. L. ^{[1
]}

机构：

[1] Ural Fed Univ, Pr Lenina 51, Ekaterinburg 620083, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2015年 / 12卷

关键词：

congruence lattice; semigroup; groupoid; spatial lattice;

D O I：

10.17377/semi.2015.12.068

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that every distributive algebraic spatial lattice is isomorphic to the congruence lattice of some semigroup and also of some groupoid with zero satisfying identities x(2) = 0 and xy = yx..

引用

页码：818 / 831

页数：14

共 15 条

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