Compatible elements in partly ordered groups

Jirí Mockor and Angeliki Kontolatou

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-8

Abstract:

Some conditions equivalent to a strong quasi-divisor property (SQDP) for a partly ordered group G are derived. It is proved that if G is defined by a family of t -valuations of finite character, then G admits an SQDP if and only if it admits a quasi-divisor property and any finitely generated t -ideal is generated by two elements. A topological density condition in topological group of finitely generated t -ideals and/or compatible elements are proved to be equivalent to SQDP.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:571460

DOI: 10.1155/IJMMS.2005.4041

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