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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

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


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1989-0976362-9
PII: S 0002-9939(1989)0976362-9
Article copyright: © Copyright 1989 American Mathematical Society