A note on the number of subquantales

被引：0

作者：

Han, Shengwei ^{[1
]}

Zhao, Bin ^{[1
]}

Wang, Shunqin ^{[2
]}

机构：

[1] Shaanxi Normal Univ, Dept Math, Xian 710062, Peoples R China

[2] Nanyang Normal Univ, Sch Math & Stat, Nanyang 473061, Peoples R China

来源：

ALGEBRA UNIVERSALIS | 2013年 / 69卷 / 02期

基金：

中国国家自然科学基金;

关键词：

quantale; simple quantale; quantic conucleus; subquantale; QUANTALES;

D O I：

10.1007/s00012-013-0221-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, it is proved for n <= 5 that if Q is a finite quantale with vertical bar Q vertical bar >= n, then there are at least n subquantales of Q. However, the result does not hold when vertical bar Q vertical bar >= 6. Also, an example is given of a sequence of quantales of cardinality p + 2 for p prime, each of which have exactly 5 subquantales.

引用

页码：191 / 200

页数：10

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