WEAK REPRESENTATIONS OF RELATION ALGEBRAS AND RELATIONAL BASES

被引：1

作者：

Hirsch, Robin ^{[1
]}

Hodkinson, Ian ^{[2
]}

Maddux, Roger D.

机构：

[1] UCL, Dept Comp Sci, London WC1E 6BT, England

[2] Univ London Imperial Coll Sci Technol & Med, Dept Comp, London SW7 2AZ, England

来源：

JOURNAL OF SYMBOLIC LOGIC | 2011年 / 76卷 / 03期

关键词：

ARGUESIAN LATTICES; VARIETIES;

D O I：

10.2178/jsl/1309952524

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is known that for all finite n >= 5, there are relation algebras with n-dimensional relational bases but no weak representations. We prove that conversely, there are finite weakly representable relation algebras with no n-dimensional relational bases. In symbols: neither of the classes RA(n) and wRRA contains the other.

引用

页码：870 / 882

页数：13

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