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Noetherian theory in modules over an arbitrary ring.

Two methods of generalizing the classical Noetherian theory to modules over arbitrary rings are described in detail. The first is by extending the primary ideals and isolated components of Murdoch to modules. The second is by using the tertiary sub-modules of Lesieur and Croisot. The development is self-contained except for elementary notions of ring and module theory.
The definition of primal submodules with some results is included for completeness. Some concrete examples are given as illustrations. / Science, Faculty of / Mathematics, Department of / Graduate

Identiferoai:union.ndltd.org:UBC/oai:circle.library.ubc.ca:2429/37909
Date January 1964
CreatorsBurgess, Walter Dean
PublisherUniversity of British Columbia
Source SetsUniversity of British Columbia
LanguageEnglish
Detected LanguageEnglish
TypeText, Thesis/Dissertation
RightsFor non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.

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