Vol. 51, No. 2, 1974

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Crawley’s completion of a conditionally upper continuous lattice

William Hugh Cornish

Vol. 51 (1974), No. 2, 397–405
Abstract

Crawley’s completion (the lattice of all complete ideals) of a conditionally upper continuous lattice L is an upper regular homomorphic image of the lattice of ideals of L. After examining the consequences of this result, Crawley’s completion is characterized both as a completion of L and as the minimal upper continuous extension of L with respect to upper regular homomorphisms.

Mathematical Subject Classification
Primary: 06A23
Milestones
Received: 13 February 1973
Published: 1 April 1974
Authors
William Hugh Cornish