SERIES-PARALLEL POSETS AND RELATIVE OCKHAM LATTICES

被引：2

作者：

BORDALO, G

PRIESTLEY, HA

机构：

[1] DEPT MATEMAT,P-1700 LISBON,PORTUGAL

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

来源：

ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS | 1994年 / 11卷 / 03期

关键词：

SERIES-PARALLEL POSET; ORDER-REVERSING MAP; DISTRIBUTIVE LATTICE; OCKHAM ALGEBRA;

D O I：

10.1007/BF02115816

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A study is undertaken of order-reversing maps on series-parallel posets and structural characterisations are obtained of various subclasses of such ordered sets. The results are applied to complete the authors' earlier investigation of classes A(rel) of finite relative A lattices, where A is a variety of Ockham lattices and the distributive lattice duals of the algebras in A(rel) are required to be series-parallel.

引用

页码：281 / 305

页数：25

共 22 条

[1]

ADAMS ME, IN PRESS ALGEBRA UNI

[2]

Balbes R., 1974, DISTRIBUTIVE LATTICE

[3]

Berman J, 1977, AEQUATIONES MATH, V16, P165

[4] ON COMPLEMENTS IN LATTICES OF FINITE LENGTH [J].