ON THE COSET STRUCTURE OF A SKEW LATTICE

被引：0

作者：

Costa, Joao Pita ^{[1
]}

机构：

[1] Univ Ljubljana, Fac Math & Phys, Jadranska 19, Ljubljana 1000, Slovenia

来源：

DEMONSTRATIO MATHEMATICA | 2011年 / 44卷 / 04期

关键词：

noncommutative lattice; skew lattice; band of semigroups; Green's relations; coset structure; regularity; symmetry; categoricity;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The class of skew lattices can be seen as an algebraic category. It models an algebraic theory in the category of sets where the Green's relation D is a congruence describing an adjunction to the category of lattices. In this paper we will discuss the relevance of this approach, revisit some known decompositions and relate the order structure of a skew lattice with its coset structure that describes the internal coset decomposition of the respective skew lattice.

引用

页码：673 / 692

页数：20

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