In [1], Birkhoff and Pierce introduced the concept of f-ring. In (7], [9], and [10] it was shown that certain Archimedian f-rings can be represented as rings of continuous extended real valued functions on various topological spaces. It was noted that the m-topology on rings of continuous real valued functions (see problem 2N of [6]) could be generalized to arbitrary f-rings provided they were convex in the sense of [5]. It was also shown that every f-ring can be embedded in a smallest convex f-ring. [...]
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:QMM.116763 |
| Date | January 1965 |
| Creators | Armstrong, Kenneth William. |
| Contributors | Lambek, J. (Supervisor) |
| Publisher | McGill University |
| Source Sets | Library and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada |
| Language | English |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Format | application/pdf |
| Coverage | Doctor of Philosophy. (Department of Mathematics.) |
| Rights | All items in eScholarship@McGill are protected by copyright with all rights reserved unless otherwise indicated. |
| Relation | alephsysno: NNNNNNNNN, Theses scanned by McGill Library. |
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