When is the ideal completion of abstract basis algebraic

Ying, M

When is the ideal completion of abstract basis algebraic

Ying, M

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Publication Type:: Journal Article
Citation:: Theoretical Computer Science, 1996, 159 (2), pp. 355 - 356
Issue Date:: 1996-06-03

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Field	Value	Language
dc.contributor.author	Ying, M https://orcid.org/0000-0003-4847-702X	en_US
dc.date.issued	1996-06-03	en_US
dc.identifier.citation	Theoretical Computer Science, 1996, 159 (2), pp. 355 - 356	en_US
dc.identifier.issn	0304-3975	en_US
dc.identifier.uri	http://hdl.handle.net/10453/9074
dc.description.abstract	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 2.2.22.4]). In this short note, we give a sufficient and necessary condition under which the ideal completion of an abstract basis is algebraic.	en_US
dc.relation.ispartof	Theoretical Computer Science	en_US
dc.relation.isbasedon	10.1016/0304-3975(95)00183-2	en_US
dc.subject.classification	Computation Theory & Mathematics	en_US
dc.title	When is the ideal completion of abstract basis algebraic	en_US
dc.type	Journal Article
utslib.citation.volume	2	en_US
utslib.citation.volume	159	en_US
utslib.for	080199 Artificial Intelligence and Image Processing not elsewhere classified	en_US
utslib.for	080203 Computational Logic and Formal Languages	en_US
utslib.for	020603 Quantum Information, Computation and Communication	en_US
utslib.for	01 Mathematical Sciences	en_US
utslib.for	08 Information and Computing Sciences	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Strength - QSI - Centre for Quantum Software and Information
utslib.copyright.status	closed_access
pubs.issue	2	en_US
pubs.publication-status	Published	en_US
pubs.volume	159	en_US

Abstract:

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 2.2.22.4]). 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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http://hdl.handle.net/10453/9074