<script type="text/javascript">
<!--
document.write('<div id="oa_widget"></div>');
document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=undefined&type=result"></script>');
-->
</script>

COPY SCRIPT

For further information contact us at helpdesk@openaire.eu

Profinite orthomodular lattices

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1993 English Publisher:American Mathematical Society (AMS)Journal:Proceedings of the American Mathematical Society, volume 118, pages 1,053-1,060 (issn: 0002-9939, eissn: 1088-6826,

Authors: Tae Ho Choe; Richard J. Greechie;

doi: 10.1090/s0002-9939-1993-1143016-9 , 10.2307/2160057

Profinite orthomodular lattices

- Summary
- Subjects
- Metrics

Abstract

We prove that any compact topological orthomodular lattice L L is zero dimensional. This leads one to show that L L is profinite iff it is the product of finite orthomodular lattices with their discrete topologies. We construct a completion L ¯ \overline L of a residually finite orthomodular lattice L L having the property that every element of L ¯ \overline L is the join of meets of elements of L L . Necessary and sufficient conditions for L L that L ¯ \overline L is the MacNeille completion are obtained.

Keywords

MacNeille completion, Complemented lattices, orthocomplemented lattices and posets, topological orthomodular lattices, compact, profinite, Topological lattices, residually finite

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	14
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average