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When projective covers and injective hulls are isomorphic

Published online by Cambridge University Press:  17 April 2009

Ann K. Boyle
Ann K. Boyle
Affiliation:
Department of Mathematics, University of Utah, Salt Lake City, Utah, USA.
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Abstract

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It is shown that rings in which the projective cover and injective hull of cyclic modules are isomorphic are equivalent to uniserial rings. Further, it is shown that rings for which the top and bottom of finitely generated modules are isomorphic also are equivalent to uniserial rings.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 8 , Issue 3 , June 1973 , pp. 471 - 476
Copyright
Copyright © Australian Mathematical Society 1973

References

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