Does anyone know any good books on relation theory? By "relation", I mean a subset of a cartesian power of a set $S$. I would really love to read some good books on the theory of relations.
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See Branch of math studying relations. – Dave L. Renfro Apr 04 '21 at 16:54
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This question is a bit broad. What sorts of questions are you interested in? E.g. are you looking for a text on relation(al) algebra(s)? – Noah Schweber Apr 06 '21 at 22:20
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@NoahSchweber I am interested in the theory behind relations, mostly binary relations, and various subtypes of binary relations, such as transitive relations, euclidean relations, circular relations, etc. – user107952 Apr 06 '21 at 22:34
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@user107952 I guess I'm still not exactly clear on what you're asking. For example, under one interpretation this is just a subfield of graph theory (namely the part studying directed graphs with no two edges having the same source and target), but presumably "graph theory" is a bit too broad. Can you clarify what sort of question you're interested in? – Noah Schweber Apr 06 '21 at 22:40
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@NoahSchweber I am interested in books or texts that define various subclasses of binary relations, and proves various things about those classes of relations, for example, that every reflexive and euclidean relation is an equivalence relation (that is just one example). It doesn't have to be a book, it could just be a journal article. – user107952 Apr 06 '21 at 23:01
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https://link.springer.com/article/10.1007/BF00370681 "The origin of relation algebras in the development and axiomatization of the calculus of relations" Seems to be a good introduction – good_one Nov 15 '22 at 21:29