Factorization and Decomposition of Relations

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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Year of publication:	1998
Authors:	Faynzilberg, Peter S.
Publisher:	Evanston, IL : Northwestern University, Kellogg School of Management, Center for Mathematical Studies in Economics and Management Science

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Series:	Discussion Paper ; 1211
Type of publication:	Book / Working Paper
Type of publication (narrower categories):	Working Paper
Language:	English
Other identifiers:	hdl:10419/221567 [Handle] RePEc:nwu:cmsems:1211 [RePEc]
Source:	EconStor

Persistent link: https://www.econbiz.de/10012236023