A REPRESENTATION THEOREM FOR MEASURABLE RELATION ALGEBRAS WITH CYCLIC GROUPS

被引：1

作者：

Andreka, Hajnal ^{[1
]}

Givant, Steven ^{[2
]}

机构：

[1] Hungarian Acad Sci, Alfred Renyi Inst Math, Realtanoda Utca 13-15, H-1053 Budapest, Hungary

[2] Mills Coll, 5000 MacArthur Blvd, Oakland, CA 94613 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 371卷 / 10期

关键词：

D O I：

10.1090/tran/7566

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A relation algebra is measurable if the identity element is a sum of atoms, and the square x; 1; x of each subidentity atom x is a sum of non-zero functional elements. These functional elements form a group Gam. We prove that a measurable relation algebra in which the groups Gx are all finite and cyclic is completely representable. A structural description of these algebras is also given.

引用

页码：7175 / 7198

页数：24

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