Publication details

More on the Strength of Engelers Lemma



Year of publication 2008
Type Article in Periodical
Magazine / Source Order
MU Faculty or unit

Faculty of Science

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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