Ideals in ordered sets, a unifying approach
| Authors | |
|---|---|
| Year of publication | 2006 |
| Type | Article in Periodical |
| Magazine / Source | Rendiconti del Circolo Matematico di Palermo |
| MU Faculty or unit | |
| 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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