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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A new proof of the construction theorem for Stone algebras


Author: Tibor Katriňák
Journal: Proc. Amer. Math. Soc. 40 (1973), 75-78
MSC: Primary 06A35
DOI: https://doi.org/10.1090/S0002-9939-1973-0316335-0
MathSciNet review: 0316335
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Abstract: A simple proof is given of Chen's and Grätzer's theorem, which gives a method to construct a Stone algebra from a Boolean algebra and a distributive lattice with 1 by certain connective conditions between the two given lattices.


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DOI: https://doi.org/10.1090/S0002-9939-1973-0316335-0
Keywords: Distributive lattice with pseudocomplementation, $ p$-algebra, Stone algebra, Stone lattice, Boolean algebra, pseudocomplement, dense element, closed element
Article copyright: © Copyright 1973 American Mathematical Society