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Density theorems and applications Horvath, Jozsef
Abstract
One way of getting structure theorems in ring theory is to fix a general class ∑ of modules, and to prove Schur's Lemma and the Density Theorem for ∑. For example, the Goldie Theorem for prime rings follows from Schur's Lemma and the Density Theorem for the class of rationally uniform, homogeneous modules in a similar way as the Wedderburn-Artin Theorem follows from Schur's Lemma and the Density Theorem for the class of irreducible modules.
Item Metadata
Title |
Density theorems and applications
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Creator | |
Publisher |
University of British Columbia
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Date Issued |
1977
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Description |
One way of getting structure theorems in ring theory is to fix a general class ∑ of modules, and to prove Schur's Lemma and the Density Theorem for ∑. For example, the Goldie Theorem for prime rings follows from Schur's Lemma and the Density Theorem for the class of rationally uniform, homogeneous modules in a similar way as the Wedderburn-Artin Theorem follows from Schur's Lemma and the Density Theorem for the class of irreducible modules.
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Genre | |
Type | |
Language |
eng
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Date Available |
2010-02-16
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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 |
10.14288/1.0080122
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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.