More on the Strength of Engelers Lemma
| Authors | |
|---|---|
| Year of publication | 2008 |
| Type | Article in Periodical |
| Magazine / Source | Order |
| MU Faculty or unit | |
| Citation | |
| Web | http://www.springerlink.com/content/jrn551h8173t1203/ |
| Field | General mathematics |
| Keywords | Prime ideal theorem; Partial rho-semilattice; rho-prime element; Engelers lemma |
| Description | We introduce semilattices equipped with a partial n-ary operation rho. A useful separation lemma for such nontrivial complete partial rho-semilattices is proved equivalent to PIT, the prime ideal theorem. The relation of various versions of the Lemma to each other and to PIT is also explored. |
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