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dc.contributor.advisorMordeson, John N.en_US
dc.contributor.authorChang, Cecilia Li-Kuenen_US
dc.date.accessioned2017-04-10T16:32:34Z
dc.date.available2017-04-10T16:32:34Z
dc.date.issued1967en_US
dc.identifier.urihttp://hdl.handle.net/10504/111710
dc.description.abstractLet A be a commutative algebra with base field K <= A. Let N be a maximal ideal of A and g the natural K-homomorphism of A onto A/N. We say that A has a coefficient field F for N if there exist a field F<=A such that gF = A/N, g/F (g restricted to F) is one-one and the identities of F and A coincide. We are mainly interested in the case P>=K. | The purpose of this thesis is to analyze the existence of F by regarding A/N as a composite. When regarding A/N as a composite of two fields L and M, we use the notation A/N = [f0L,f1M] where f0, f1 are K-isomorphisms into A/N.en_US
dc.language.isoen_USen_US
dc.publisherCreighton Universityen_US
dc.rightsA non-exclusive distribution right is granted to Creighton University and to ProQuest following the publishing model selected above.en_US
dc.titleThe Existence of Coefficient Field Composites in Commutative Algebrasen_US
dc.typeThesis
dc.publisher.locationOmaha, Nebraskaen_US
dc.description.noteProQuest Traditional Publishing Optionen_US
dc.contributor.cuauthorChang, Cecilia Li-Kuenen_US
dc.degree.levelMA (Master of Arts)en_US
dc.degree.disciplineMathematics (graduate program)en_US
dc.degree.nameM.A. in Mathematicsen_US
dc.degree.grantorGraduate Schoolen_US


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