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Noetherian theory in modules over an arbitrary ring. Burgess, Walter Dean
Abstract
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.
Item Metadata
| Title |
Noetherian theory in modules over an arbitrary ring.
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| Creator | |
| Publisher |
University of British Columbia
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| Date Issued |
1964
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| Description |
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.
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| Genre | |
| Type | |
| Language |
eng
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| Date Available |
2011-10-12
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
For 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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| DOI |
10.14288/1.0080536
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| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Campus | |
| Scholarly Level |
Graduate
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| Aggregated Source Repository |
DSpace
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Rights
For 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.