CONSTRUCTION OF HOMOMORPHISMS OF M-CONTINUOUS LATTICES

Authors
XU XQ
Citation
Xq. Xu, CONSTRUCTION OF HOMOMORPHISMS OF M-CONTINUOUS LATTICES, Transactions of the American Mathematical Society, 347(8), 1995, pp. 3167-3175
Citations number
17
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Transactions of the American Mathematical Society → ACNP
ISSN journal
00029947
Volume
347
Issue
8
Year of publication
1995
Pages
3167 - 3175
Database
ISI
SICI code
0002-9947(1995)347:8<3167:COHOML>2.0.ZU;2-4
Abstract
We present a direct approach to constructing homomorphisms of M-contin uous lattices, a generalization of continuous lattices, into the unit interval, and show that an M-continuous lattice has sufficiently many homomorphisms into the unit interval to separate the points.