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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Artinian ideals in Noetherian rings


Author: T. H. Lenagan
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
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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 [Enhancements On Off] (What's this?)

  • [1] Alfred W. Goldie, The structure of Noetherian rings, Lecture on rings and modules (Tulane Univ. Ring and Operator Theory Year, 1970-1971, Vol. I), Springer, Berlin, 1972, pp. 213–321. Lecture Notes in Math., Vol. 246. MR 0393118

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DOI: https://doi.org/10.1090/S0002-9939-1975-0384862-8
Article copyright: © Copyright 1975 American Mathematical Society