A construction for pseudocomplemented semilattices and two applications

Authors:
M. E. Adams and Matthew Gould

Journal:
Proc. Amer. Math. Soc. **106** (1989), 899-905

MSC:
Primary 06A12; Secondary 08A35, 08C15

DOI:
https://doi.org/10.1090/S0002-9939-1989-0976362-9

MathSciNet review:
976362

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

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DOI:
https://doi.org/10.1090/S0002-9939-1989-0976362-9

Article copyright:
© Copyright 1989
American Mathematical Society