A construction for pseudocomplemented semilattices and two applications-Reference-Cited by-同舟云学术

A construction for pseudocomplemented semilattices and two applications

Published:1989 Issue:4 Volume:106 Page:899-905
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Adams M. E.,Gould Matthew

Abstract

A method is given by which pseudocomplemented semilattices can be constructed from graphs. Two consequences of the method are obtained, namely: there exist continuum-many quasivarieties of pseudocomplemented semilattices; for any non-zero cardinal κ \kappa , there exist κ \kappa pairwise non-isomorphic pseudocomplemented semilattices with isomorphic endomorphism monoids.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1989-106-04/S0002-9939-1989-0976362-9/S0002-9939-1989-0976362-9.pdf

Reference13 articles.

1. Implicational classes of pseudocomplemented distributive lattices;Adams, M. E.;J. London Math. Soc. (2),1976

2. Homomorphisms and endomorphisms in varieties of pseudocomplemented distributive lattices (with applications to Heyting algebras);Adams, M. E.;Trans. Amer. Math. Soc.,1984

3. Lehrb\"{u}cher und Monographien aus dem Gebiete der Exakten Wissenschaften, Mathematische Reihe, Band 52;Grätzer, George,1978

4. A note on the implicational class generated by a class of structures;Grätzer, G.;Canad. Math. Bull.,1973

5. On the lattice of quasivarieties of distributive lattices with pseudocomplementation;Grätzer, G.;Acta Sci. Math. (Szeged),1980

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1. On amalgamation classes of pseudocomplemented semilattices;Algebra Universalis;1992-09