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On completely principally injective rings

Published online by Cambridge University Press:  17 April 2009

W.K. Nicholson  and
M.F. Yousif
W.K. Nicholson
Affiliation:
Department of MathematicsUniversity of CalgaryCalgary, AlbertaCanadaT2N 1N4
M.F. Yousif
Affiliation:
Department of MathematicsThe Ohio State University at Lima4240 Campus Drive Lima OH 45804United States of America
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A ring R is called right principally injective (right P-injective) if every R-linear map from a principal right ideal of R can be extended to R. If every ring homomorphic image of R is right P-injective, R is called completely right P-injective (right CP-injective). In this paper we characterise completely quasi-Frobenius rings in terms of CP-injectivity.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 49 , Issue 3 , June 1994 , pp. 513 - 518
Copyright
Copyright © Australian Mathematical Society 1994

References

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