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On groups with the almost orthogonality condition

 

作者: Elen E. Shirshova,  

 

期刊: Communications in Algebra  （Taylor Available online 2000）
卷期: Volume 28, issue 10  

页码: 4803-4818

 

ISSN:0092-7872

 

年代: 2000

 

DOI:10.1080/00927870008827121

 

出版商: Gordon and Breach Science Publishers Ltd.

 

关键词: Archimedean extension;group with the almost orthogonality condition;pseudo-lattice ordered group;interpolation group;almost orthogonal

 

数据来源: Taylor

 

摘要:

The concept of the orthogonality is important in the study of lattice-ordered groups. The purpose of this paper is to investigate a generalization of this concept to directed groups. The idea of anAO-group is introduced here. Some results are obtained concerning convex directed subgroups and Archimedean extensions ofAO-groups. InterpolationAO-groups are also described.

 

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