The Existence of Coefficient Field Composites in Commutative Algebras
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Authors
Chang, Cecilia Li-Kuen
Issue Date
1967
Volume
Issue
Type
Thesis
Language
en_US
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Abstract
Let 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.
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Publisher
Creighton University
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