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Published in:
2009 | OriginalPaper | Chapter
Contact Relations with Applications
Authors : Gunther Schmidt, Rudolf Berghammer
Published in: Relations and Kleene Algebra in Computer Science
Publisher: Springer Berlin Heidelberg
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Using relation algebra, we generalize Aumann’s notion of a contact relation and that of a closure operation from powersets to general membership relations and their induced partial orders. We also investigate the relationship between contacts and closures in this general setting and use contacts to establish a one-to-one correspondence between the column space and the row space of a relation.