A singular primitive ring
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- by John Lawrence
- Proc. Amer. Math. Soc. 45 (1974), 59-62
- DOI: https://doi.org/10.1090/S0002-9939-1974-0357466-X
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Abstract:
An example of a primitive ring with nonzero singular ideal is constructed. An example, due to B. Osofsky, of a semiprimitive ring with nonzero singular ideal is shown to be nonprimitive.References
- Carl Faith, Lectures on injective modules and quotient rings, Lecture Notes in Mathematics, No. 49, Springer-Verlag, Berlin-New York, 1967. MR 0227206
- Edward Formanek, Group rings of free products are primitive, J. Algebra 26 (1973), 508–511. MR 321964, DOI 10.1016/0021-8693(73)90011-2
- B. L. Osofsky, A non-trivial ring with non-rational injective hull, Canad. Math. Bull. 10 (1967), 275–282. MR 212055, DOI 10.4153/CMB-1967-027-9
Bibliographic Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 45 (1974), 59-62
- MSC: Primary 16A20
- DOI: https://doi.org/10.1090/S0002-9939-1974-0357466-X
- MathSciNet review: 0357466