A construction for pseudocomplemented semilattices and two applications

Adams, M. E.; Gould, Matthew

doi:10.1090/S0002-9939-1989-0976362-9

A construction for pseudocomplemented semilattices and two applications
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by M. E. Adams and Matthew Gould PDF

Proc. Amer. Math. Soc. 106 (1989), 899-905 Request permission

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 $\kappa$, there exist $\kappa$ pairwise non-isomorphic pseudocomplemented semilattices with isomorphic endomorphism monoids.

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