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Factorization and Decomposition of Relations

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Author Info
Peter S. Faynzilberg
Abstract

The paper extends the factor and decomposition theorems for functions to the category Rel of sets and relations. The converse theorems are also stated and proved. We show that the (retraction, isomorphism, section)-decomposable relations form a closure system on Mor (Rel), and characterize it in terms of a closure operator.

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File URL: http://www.kellogg.northwestern.edu/research/math/papers/1211.pdf
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Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1211.

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Date of creation: Mar 1998
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Handle: RePEc:nwu:cmsems:1211

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