Finiteness conditions for projective and injective modules
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- by Joe W. Fisher PDF
- Proc. Amer. Math. Soc. 40 (1973), 389-394 Request permission
Abstract:
Does Hopkins’ theorem extend to projective modules, i.e., are projective Artinian modules Noetherian? An example is given to answer this question in the negative; however, we show that the answer is affirmative for certain large classes of projective modules. Dually, are injective Noetherian modules Artinian? Again the answer is negative; nevertheless, we provide an affirmative answer for certain classes of injective modules.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 40 (1973), 389-394
- MSC: Primary 16A50
- DOI: https://doi.org/10.1090/S0002-9939-1973-0335578-3
- MathSciNet review: 0335578