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Minimal prime ideals and compactifications

Published online by Cambridge University Press:  09 April 2009

J. H. Rubinstein
J. H. Rubinstein
Affiliation:
Monash University Clayton, Victoria, Australia
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Following on from the work of T. P. Speed [1], we will deal with some obvious conjectures, using particularly results 3.3 and 8.5 of [1].

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 13 , Issue 4 , June 1972 , pp. 423 - 432
Copyright
Copyright © Australian Mathematical Society 1972

References

[1]Speed, T. P., Spaces of Ideals of Distributive Lattices II Minimal Prime Ideals, to appear.Google Scholar
[2]Magill, K. D. Jr & Glasenapp, J. A., ‘0-dimensional Compactifications and Boolean Rings’, J. Aust. Math. Soc. 8 (1968), 755–765.CrossRefGoogle Scholar
[3]Nerode, A., ‘Some Stone Spaces and Recursion theory’, Duke Math. J. 26 (1959), 397–406.CrossRefGoogle Scholar
[4]Dwinger, Ph., Introduction to Boolean Algebras (Physica-Verlag 1961).Google Scholar
[5]Kist, J., ‘Minimal Prime Ideals in Commutative Semigroups’, Proc. London Math. Soc. (3) 13 (1963), 31–50.CrossRefGoogle Scholar
[6]Stone, M. H., ‘Topological Representations of Distributive Lattices and Brouwerian Logics’, Casopic Pro Pestorani Matematiky a Fysiky 67 (1937), 1–25.Google Scholar