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A Type of Quasi-Frobenius Ring

Published online by Cambridge University Press:  20 November 2018

Edmund H. Feller
Edmund H. Feller*
Affiliation:
University of Wisconsin-Milwaukee
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In [3], the author proved that a ring R with identity is right noetherian and right injective if and only if R is a direct sum of a finite number of uniform right ideals, which are completely primary in the sense of that paper. In this paper, we shall determine the structure of such rings in the case where the sum of the isomorphic uniform components are twosided ideals. The ring is found to be a direct sum of total matrix rings over local rings.

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 10 , Issue 1 , April 1967 , pp. 19 - 27
Copyright
Copyright © Canadian Mathematical Society 1967

Footnotes

1

Research supported by the N. S.F. under grant GP - 4453.

References

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