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Creighton University
The Existence of Coefficient Field Composites in Commutative Algebras
Abstract
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.
Degree
thesis:*- Grantor dc:publisher
- Creighton University
- Year dc:date.issued
- 1967
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Chang, Cecilia Li-Kuen
- Advisor dc:contributor.advisor
-
- Mordeson, John N.
Rights
dc:rights- Statement dc:rights
-
- A non-exclusive distribution right is granted to Creighton University and to ProQuest following the publishing model selected above.
- Language dc:language.iso
- en_US
Identifiers
dc:identifier.*- Handle dc:identifier.uri
- http://hdl.handle.net/10504/111710
- OAI identifier oai:identifier
- oai:cdr.creighton.edu:10504/111710