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A note on regular modules

Published online by Cambridge University Press:  17 April 2009

V.S. Ramamurthi
V.S. Ramamurthi
Affiliation:
Arul Anandar College, Karumathur, via Madurai, Tamil Nadu, India.
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Abstract

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Kaplansky's observation, namely, a commutative ring R is (von Neumann) regular if and only if each simple R-module is injective, is generalized to projective modules over a commutative ring.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 11 , Issue 3 , December 1974 , pp. 359 - 364
Copyright
Copyright © Australian Mathematical Society 1974

References

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