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..
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页码：818 / 831
页数：14
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