134
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

A proof that commutative artinian rings are noetherian

Pages 4687-4691 | Received 01 Jan 1995, Published online: 27 Jun 2007

References

  • Akizuki , Y. 1935 . Teilerkettensatz und Vielfachenkettensatz . Proc. of the Phy-sico-Mathematical Society of Japan , 17 ( 3 ) : 337 – 345 .
  • Atiyah , M. F. and Macdonald , I. G. 1969 . Introduction to commutative algebra , Addison-Wesley .
  • Cohen , I.S. 1950 . Commutative rings with restricted minimum condition . Duke Math. J , 17 : 27 – 42 .
  • Hopkins , C. 1939 . Rings with minimal condition for left ideals . Annals of Mathematics , 40 ( 2 ) : 712 – 730 .
  • Kirby , D. 1990 . Dimension and length for Artinian modules . Dimension and length for Artinian modules , 41 ( 2 ) : 419 – 429 .
  • Rentschler , K. and Gabriel , P. 1967 . Sur la dimension des anneaux et ensembles ordonnes . C. R. Acad. Sci. Paris , 265 ( 2 ) : 712 – 715 .
  • Roberts , R. N. 1975 . Krull dimension for Artinian modules over quasi local commutative rings, Quart. J. Math . Oxford , 26 ( 3 ) : 269 – 273 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.