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CRingProject,Chapter31.3LocalringsAspecialcaseofgreatimportanceinthefu CRingProject,Chapter31.3LocalringsAspecialcaseofgreatimportanceinthefu

CRingProject,Chapter31.3LocalringsAspecialcaseofgreatimportanceinthefu - PDF document

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CRingProject,Chapter31.3LocalringsAspecialcaseofgreatimportanceinthefu - PPT Presentation

xyy xya1aThenoneofa1aisinvertibleSoeitherxxy1oryxy1isinvertiblewhichimpliesthateitherxyisinvertiblecontradictionNowprovethereversedirectionAssumeRhasauniquemaximalidealMWecla ID: 346395

x+y+y x+y=a+(1a):Thenoneofa;1aisinvertible.Soeitherx(x+y)1ory(x+y)1isinvertible whichimpliesthateitherx;yisinvertible contradiction.Nowprovethereversedirection.AssumeRhasauniquemaximalidealM.Wecla

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