Minimal prime initials and zero-dimensional spaces

被引：0

作者：

Johnson, DG ^{[1
]}

Kist, JE ^{[1
]}

机构：

[1] New Mexico State Univ, Dept Math Sci, Las Cruces, NM 88003 USA

来源：

TOPOLOGY PROCEEDINGS, VOL 26, NO 2, 2001-2002 | 2002年 / 26卷 / 02期

关键词：

preordered set; prime initial set; hull-kernel topology; zero-dimensional topological space;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For Commutative semigroups, prime ideals minimal among all primes containing a fixed ideal were characterized in [6], where it was shown that families of such minimal primes. form zero-dimensional spaces when provided with the hull-kernel topology. Here, we consider the analogous condition for initial sets in preordered sets: it is sufficient for minimality of a prime initial set among all prime initial sets containing a fixed initial, but it is not necessary. Several examples are presented.

引用

页码：709 / 720

页数：12