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The spectrum of a ring as a partially ordered set

✍ Scribed by William J Lewis


Publisher
Elsevier Science
Year
1973
Tongue
English
Weight
924 KB
Volume
25
Category
Article
ISSN
0021-8693

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Two general kinds of subsets of a partially ordered set P are always retracts of P:: (1) every maximal chain of P is a retract; (2) in P, every isometric, spanning subset of length one with no crowns is a retract. It follows that in a partially ordered set P with the fixed point property, every maxi

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A problem concerning the cardinality of the cofinal subsets of a partially ordered set is reduced to an open problem irr graph tteory. Let A be an in&it: wdinal, V = Ui,, Vi, I Uiii VJC IVJ (i CA). J\_et G be a graph on V with the proper?y that whenever i <A, x=u ie,cA Vi and IXICIVil, then there is