Open AccessCLOSURE SYSTEMS AND CLOSURE OPERATIONS IN DEDEKIND CATEGORIES
Author(s) -
Yasuo Kawahara,
Kakuji Tanaka
Publication year - 2008
Publication title -
bulletin of informatics and cybernetics
Language(s) - English
Resource type - Journals
eISSN - 2435-743X
pISSN - 0286-522X
DOI - 10.5109/18996
Subject(s) - closure (psychology) , dedekind cut , mathematics , pure mathematics , political science , law
The concepts of closure systems and closure operations in lattice theory are basic and applied to many fields in mathematics and theoretical computer science. In this paper authors find out a suitable definition of closure systems in Dedekind categories, and thereby give an equivalence proof for closure systems and closure operations in Dedekind categories.
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