## Self-injective rings

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- by Carl Faith PDF
- Proc. Amer. Math. Soc.
**77**(1979), 157-164 Request permission

## Abstract:

In 1958 Matlis proved that the study of Noetherian complete local rings could be subsumed under the study of injective modules*E*over a commutative ring

*A*such that $B = \mathrm {End}_A E$ is commutative. In this case $B = \text {End}_B E$, and

*E*is said to be

*strongly balanced*over

*B*. The main theorem of this paper shows that the study of strongly balanced injectives over any ring, and hence the study of Monta self-dualities, is contained in the study of self-injective rings.

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## Additional Information

- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**77**(1979), 157-164 - MSC: Primary 16A52
- DOI: https://doi.org/10.1090/S0002-9939-1979-0542077-8
- MathSciNet review: 542077