ENDOPRIMAL DISTRIBUTIVE LATTICES ARE ENDODUALISABLE

被引：19

作者：

DAVEY, BA

HAVIAR, M

PRIESTLEY, HA

机构：

[1] LA TROBE UNIV,DEPT MATH,BUNDOORA,VIC 3093,AUSTRALIA

[2] M BEL UNIV,DEPT MATH,BANSKA BYSTRICA 97549,SLOVAKIA

[3] MATH INST,OXFORD OX1 3LB,ENGLAND

来源：

ALGEBRA UNIVERSALIS | 1995年 / 34卷 / 03期

关键词：

DISTRIBUTIVE LATTICE; ENDOPRIMAL ALGEBRA; NATURAL DUALITY;

D O I：

10.1007/BF01182100

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

L. Marki and R. Poschel have characterised the endoprimal distributive lattices as those which are not relatively complemented. The theory of natural dualities implies that any finite algebra A on which the endomorphisms of A yield a duality on the quasivariety ISP(A) is necessarily endoprimal. This note investigates endodualisability for finite distributive lattices, and shows, in a manner which elucidates Marki and Poschel's proof, that it is equivalent to endoprimality.

引用

页码：444 / 453

页数：10

共 16 条

[1]

Balbes R., 1974, DISTRIBUTIVE LATTICE

[2]

Davey B.A., 1992, INTRO LATTICES ORDER

[3]

Davey B.A, 1974, ALGEBR UNIV, V4, P106

[4]

Davey B.A., 1983, C MATH SOC J BOLYAI, V43, P61