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.
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页码：7175 / 7198
页数：24
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