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LetRbeanorderedring.AllsquaresofnonzeroelementsofRarepositive,Rhaschar LetRbeanorderedring.AllsquaresofnonzeroelementsofRarepositive,Rhaschar

LetRbeanorderedring.AllsquaresofnonzeroelementsofRarepositive,Rhaschar - PDF document

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LetRbeanorderedring.AllsquaresofnonzeroelementsofRarepositive,Rhaschar - PPT Presentation

Theorem253 ProofLetPbethepositivesetcorrespondingtotheorderingonRIfa2Rnf0gtheneitheraoraisinPandsobyclosurea2a2isalsoinPthusallsquarearepositiveUsingthis112isalwayspositivesoagainbyclo ID: 520238

Theorem25.3 Proof.LetPbethepositivesetcorrespondingtotheorderingonR.Ifa2Rnf0g theneitheraoraisinP andsobyclosure a2=(a)2isalsoinP;thusallsquarearepositive.Usingthis 1=12isalwayspositive soagainbyclo

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