|
|||||
|
|
|
|
|
|
|
|
|
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 | |
|
