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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

The structure of pseudocomplemented distributive lattices. I. Subdirect decomposition


Author: H. Lakser
Journal: Trans. Amer. Math. Soc. 156 (1971), 335-342
MSC: Primary 06.50
MathSciNet review: 0274358
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Abstract: In this paper all subdirectly irreducible pseudocomplemented distributive lattices are found. This result is used to establish a Stone-like representation theorem conjectured by G. Grätzer and to find all equational subclasses of the class of pseudocomplemented distributive lattices.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1971-0274358-7
PII: S 0002-9947(1971)0274358-7
Keywords: Distributive lattice, pseudocomplemented, subdirectly irreducible, equational class, congruence
Article copyright: © Copyright 1971 American Mathematical Society