Artinian ideals in Noetherian rings
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- by T. H. Lenagan PDF
- Proc. Amer. Math. Soc. 51 (1975), 499-500 Request permission
Abstract:
We show that in a right and left Noetherian ring two-sided ideals which are Artinian as left submodules are also Artinian as right submodules.References
- Alfred W. Goldie, The structure of Noetherian rings, Lectures on rings and modules (Tulane Univ. Ring and Operator Theory Year, 1970-1971, Vol. I), Lecture Notes in Math., Vol. 246, Springer, Berlin, 1972, pp. 213–321. MR 0393118
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 51 (1975), 499-500
- MSC: Primary 16A46
- DOI: https://doi.org/10.1090/S0002-9939-1975-0384862-8
- MathSciNet review: 0384862