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COMPONENTS OF POSITIVE ELEMENTS IN RIESZ SPACES

 

作者: I. Burger,   J.J. Grobler,  

 

期刊: Quaestiones Mathematicae  （Taylor Available online 1994）
卷期: Volume 17, issue 4  

页码: 403-418

 

ISSN:1607-3606

 

年代: 1994

 

DOI:10.1080/16073606.1994.9631774

 

出版商: Taylor & Francis Group

 

关键词: 06E99;06F20;46A40;47B55

 

数据来源: Taylor

 

摘要:

We find a necessary and sufficient condition on a Riesz spaceEsuch that a sub-Boolean algebra of components of a positive element generates the Boolean algebra of all components of the element. This condition yields a dual characterization of principalA-modules in the sense of D. Vuza. When applied tol-algebras, one finds improvements of results of J. Synnatzschke.

 

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