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Compatible elements in partly ordered groups

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  • Jirí Mockor
  • Angeliki Kontolatou

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.

Suggested Citation

  • Jirí Mockor & Angeliki Kontolatou, 2005. "Compatible elements in partly ordered groups," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-8, January.
    • Handle: RePEc:hin:jijmms:571460
    DOI: 10.1155/IJMMS.2005.4041
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