Ideals in ordered sets, a unifying approach

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Authors

NIEDERLE Josef

Year of publication 2006
Type Article in Periodical
Magazine / Source Rendiconti del Circolo Matematico di Palermo
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords algebraic topped intersection structure; ideal; pseudoideal; Frink ideal; Doyle pseudoideal; S-ideal; prime S-ideal; S-distributive ordered set; prime S-ideal theorem
Description 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.
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