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On the Triple Characterization for Stone Algebras

Published online by Cambridge University Press:  20 November 2018

Raymond Balbes
Raymond Balbes*
Affiliation:
University of Missouri-St. Louis, St. Louis, Missouri
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In [1], C. C. Chen and G. Grâtzer developed a method for studying Stone algebras by associating with each Stone algebra L, a uniquely determined triple (C(L), D(L), ɸ (L)), consisting of a Boolean algebra C(L), a distributive lattice D(L), and a connecting map ɸ(L). This approach has been successfully exploited by various investigators to determine properties of Stone algebras (e.g. H. Lakser [9] characterized the injective hulls of Stone algebras by means of this technique). The present paper is a continuation of this program.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 27 , Issue 4 , 01 August 1975 , pp. 852 - 859
Copyright
Copyright © Canadian Mathematical Society 1975

References

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