Jonsson posets and unary Jonsson algebras

被引：6

作者：

Kearnes, Keith A. ^{[1
]}

Oman, Greg ^{[2
]}

机构：

[1] Univ Colorado, Dept Math, Boulder, CO 80309 USA

[2] Univ Colorado, Dept Math, Colorado Springs, CO 80918 USA

来源：

ALGEBRA UNIVERSALIS | 2013年 / 69卷 / 02期

关键词：

Jonsson algebra; Jonsson poset; unary algebra;

D O I：

10.1007/s00012-013-0222-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that if P is an infinite poset whose proper order ideals have cardinality strictly less than vertical bar P vertical bar and kappa is a cardinal number strictly less than vertical bar P vertical bar, then P has a principal order ideal of cardinality at least kappa. We apply this result to characterize the possible sizes of unary Jonsson algebras.

引用

页码：101 / 112

页数：12

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