Projective Ordinal Sums of Lattices and Isotone Sections

被引：1

作者：

Freese, Ralph ^{[1
]}

Nation, J. B. ^{[1
]}

机构：

[1] Univ Hawaii, Honolulu, HI 96822 USA

来源：

ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS | 2015年 / 32卷 / 02期

基金：

美国国家科学基金会;

关键词：

Projective lattice; Isotone section; Ordinal sum;

D O I：

10.1007/s11083-014-9329-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This note gives a complete characterization of when the ordinal sum of two lattices (the lattice obtained by placing the second lattice on top of the first) is projective. This characterization applies not only to the class of all lattices, but to any variety of lattices, and in particular, to the class of distributive lattices. Lattices L with the property that every epimorphism onto L has an isotone section are also characterized.

引用

页码：245 / 254

页数：10

共 8 条

[1] GENERATING SETS FOR CATALYTIC AND PROJECTIVE DISTRIBUTIVE LATTICES [J].