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Ideals in ordered sets, a unifying approach

  • Josef NiederleEmail author
Article

Abstract

A common generalization of different notions of ideals met in literature together with the associated notions of distributivity in ordered sets are studied. A restricted prime ideal theorem is proved. Moreover, a new characterization of algebraic topped intersection structures is presented.

Keywords

Algebraic topped intersection structure ideal pseudoideal Frink ideal Doyle pseudoideal S-ideal primeS-ideal S-distributive ordered set primeS-ideal theorem 

Mathematics Subject Classification (2000)

06A06 06A15 

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Copyright information

© Springer 2006

Authors and Affiliations

  1. 1.Masarykova universita, Přírodovědecká fakultaKatedra algebry a geometrieBrnoCzechoslovakia

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