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On the Structure of Quotient Rings Which are QFX Rings

Published online by Cambridge University Press:  20 November 2018

Samuel L. Dunn
Samuel L. Dunn*
Affiliation:
School of Natural And Mathematical Sciences Seattle Pacific College, Seattle, Washington 98119
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The object of this paper is to consider the relationships between matrix rings and rings having classical quotient rings which are quasi-Frobenius X (QFX) rings. The main result of this paper is Theorem 12, which shows that if S is a ring with a QFX right classical quotient ring T, then T is isomorphic to a direct sum of a finite number of matrix rings over local rings Ui, while S is almost a direct sum of matrix rings over rings Ci, the Ui being right classical quotient rings of the Ci.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 2 , June 1975 , pp. 203 - 207
Copyright
Copyright © Canadian Mathematical Society 1975

References

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