1. Pseudocomplements in groupoids
- Author
-
K. Nirmala Kumari Amma
- Subjects
Pure mathematics ,Higher-dimensional algebra ,Mathematics::Category Theory ,Computer Science::Information Retrieval ,General Mathematics ,Double groupoid ,Mathematics - 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.
- Published
- 1978
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