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Please use this identifier to cite or link to this item: http://hdl.handle.net/11375/20378
Title: QF-1 Rings
Authors: To, Peter Kwok Wa
Advisor: Mueller, B. J.
Department: Mathematics
Keywords: rings, module, artinian
Publication Date: May-1973
Abstract: <p> A ring R is said to be QF-1 if every finitely generated faithful R-module has the double centralizer property (or is balanced). A necessary and sufficient condition for an artinian ring to be QF-1 is given. The class of QF-1 rings properly contains the class of QF rings and this is shown by an example. Several constructions of modules which are not balanced are collected. Finally, the structure of artinian local QF-1 rings which are finitely generated over their centers is gotten. This is a generalization of theorems of Floyd, and, Fuller and Dickson.</p>
URI: http://hdl.handle.net/11375/20378
Appears in Collections:Open Access Dissertations and Theses

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