Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Artinian ideals in Noetherian rings
HTML articles powered by AMS MathViewer

by T. H. Lenagan
Proc. Amer. Math. Soc. 51 (1975), 499-500
DOI: https://doi.org/10.1090/S0002-9939-1975-0384862-8
PDF | 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
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 16A46
  • Retrieve articles in all journals with MSC: 16A46
Bibliographic 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