Locales whose coz-complemented cozero sublocales have open closures.
In: Algebra Universalis, Jg. 81 (2020-05-01), Heft 2, S. 1-17
Online
academicJournal
Zugriff:
A cozero sublocale C of a completely regular locale L will here be called coz-complemented if there is a cozero sublocale D of L such that C ∩ D is the void sublocale and C ∨ D is dense in L. Following terminology in spaces, we say L is a cloz-locale if every coz-complemented sublocale of L has an open closure. We characterize cloz-locales in terms of certain embeddings, and also in terms of ring-theoretic properties of the ring R L of real-valued continuous functions on L. [ABSTRACT FROM AUTHOR]
Titel: |
Locales whose coz-complemented cozero sublocales have open closures.
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Autor/in / Beteiligte Person: | Ighedo, Oghenetega ; Mugochi, Martin M. |
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Zeitschrift: | Algebra Universalis, Jg. 81 (2020-05-01), Heft 2, S. 1-17 |
Veröffentlichung: | 2020 |
Medientyp: | academicJournal |
ISSN: | 0002-5240 (print) |
DOI: | 10.1007/s00012-020-00655-9 |
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