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Pseudocomplements in groupoids
Published online by Cambridge University Press: 09 April 2009
Abstract
This paper is devoted to a study of pseudocomplements in groupoids. A characterization of an intraregular groupoid is obtained in terms of prime ideals. It is proved that the set of dense elements of an intraregular groupoid S with 0 is the intersection of all the maximal filters of S and that the set of normal elements of an intraregular groupoid closed for pseudocomplements forms a Boolean algebra under natural operations. It is shown that the pseudocomplement of an ideal of an intraregular groupoid with 0 is the intersection of all the minimal prime ideas not containing it.
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- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 26 , Issue 2 , September 1978 , pp. 209 - 219
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- Copyright © Australian Mathematical Society 1978
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