{"id":{"repo_id":"creighton","oai_identifier":"oai:cdr.creighton.edu:10504/111710"},"canonical_url":"https://search.dev.ndltd.org/etd/creighton/oai:cdr.creighton.edu:10504/111710","repository":{"repo_id":"creighton","name":"Creighton University","base_url":"https://cdr.creighton.edu/server/oai/request"},"display":{"title":"The Existence of Coefficient Field Composites in Commutative Algebras","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.","abstract_html":"Let A be a commutative algebra with base field K &lt;= 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&lt;=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&gt;=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.","abstract_has_math":false,"creators":["Chang, Cecilia Li-Kuen"],"institution":"Creighton University","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Mordeson, John N."],"committee_chairs":[],"committee_members":[],"year":1967,"date_issued":"1967","date_published":"1967","updated_at":"2026-07-24T01:50:57Z","subjects":[],"languages":["en_US"],"rights":["A non-exclusive distribution right is granted to Creighton University and to ProQuest following the publishing model selected above."],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/10504/111710","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Mordeson, John N."]},{"key":"dc:creator","label":"Author","values":["Chang, Cecilia Li-Kuen"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2017-04-10T16:32:34Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2017-04-10T16:32:34Z"]},{"key":"dc:date.issued","label":"Date","values":["1967"]},{"key":"dc:publisher","label":"Institution","values":["Creighton University"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en_US"]},{"key":"dc:rights","label":"Dc Rights","values":["A non-exclusive distribution right is granted to Creighton University and to ProQuest following the publishing model selected above."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/10504/111710"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["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."]},{"key":"dc:title","label":"Title","values":["The Existence of Coefficient Field Composites in Commutative Algebras"]}]}],"canonical_facts":{"dc:contributor.advisor":["Mordeson, John N."],"dc:creator":["Chang, Cecilia Li-Kuen"],"dc:date.accessioned":["2017-04-10T16:32:34Z"],"dc:date.available":["2017-04-10T16:32:34Z"],"dc:date.issued":["1967"],"dc:description.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."],"dc:identifier.uri":["http://hdl.handle.net/10504/111710"],"dc:language.iso":["en_US"],"dc:publisher":["Creighton University"],"dc:rights":["A non-exclusive distribution right is granted to Creighton University and to ProQuest following the publishing model selected above."],"dc:title":["The Existence of Coefficient Field Composites in Commutative Algebras"],"dc:type":["Thesis"]},"updated_at":"2026-07-24T01:50:57Z"}