When is the ideal completion of abstract basis algebraic
- Publication Type:
- Journal Article
- Theoretical Computer Science, 1996, 159 (2), pp. 355 - 356
- Issue Date:
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The concepts of abstract basis and its ideal completion play an important role in domain theory because the category of bases (and approximate relations) is equivalent to the category of continuous domains (and continuous mappings) (cf. [1, Theorem 2.2.28]). We know that if the relation equipped with an abstract basis is reflexive then its ideal completion is an algebraic domain (see [1, Proposition 188.8.131.52]). In this short note, we give a sufficient and necessary condition under which the ideal completion of an abstract basis is algebraic.
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