Algebraic conditions leading to continuous lattices-Reference-Cited by-同舟云学术

Algebraic conditions leading to continuous lattices

Published:1980 Issue:4 Volume:78 Page:477-481
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Lawson Jimmie D.

Abstract

This paper is concerned with sufficient conditions for a meet-continuous lattice L to be a continuous lattice. In §2 this is shown to be true if the prime elements order generate and ( L , ∨ ) (L, \vee ) is a compact topological semilattice. In §3 it is shown that a meet-continuous lattice with finite breadth is a continuous lattice.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1980-078-04/S0002-9939-1980-0556616-2/S0002-9939-1980-0556616-2.pdf

Reference10 articles.

1. Irreducibility and generation in continuous lattices;Hofmann, Karl H.;Semigroup Forum,1976

2. The algebraic theory of compact Lawson semilattices. Applications of Galois connections to compact semilattices;Hofmann, Karl Heinrich;Dissertationes Math. (Rozprawy Mat.),1976

3. Additional notes on continuity in semitopological semigroups;Lawson, Jimmie D.;Semigroup Forum,1976

4. Intrinsic topologies in topological lattices and semilattices;Lawson, Jimmie D.;Pacific J. Math.,1973

5. Intrinsic lattice and semilattice topologies;Lawson, Jimmie D.,1973

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