This dissertation focuses on the properties of a domain which has the property that each ideal is a finite intersection of a π-ideal, the properties of a domain which have the property that each ideal is a finite product of π-ideal, and the containment relations of the resulting classes of ideals. Chapter 1 states definitions which are needed in later chapters. Chapters 2 and 3 focuses on domains which have the property that each ideal in D is a finite intersection of π-ideals while Chapter 4 focuses on domains with the property that each ideal is a finite product of π-ideals. Chapter 5 discusses the containment relations which occur as a result of Chapters 2 and 3.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc332679 |
| Date | 08 1900 |
| Creators | Emerson, Sharon Sue |
| Contributors | Vaughan, Nick H., Appling, William D. L., Smith, Howard Wellington, Neuberger, John W., Lewis, Paul |
| Publisher | University of North Texas |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | iii, 44 leaves, Text |
| Rights | Public, Emerson, Sharon Sue, Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved. |
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