On graded rings with finiteness conditions-Reference-Cited by-同舟云学术

On graded rings with finiteness conditions

Published:1982 Issue:1 Volume:86 Page:1-5
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Camillo V. P.,Fuller K. R.

Abstract

It is proved that a graded ring that is finitely graded modulo its radical is local if its initial subring is local, and that a graded artinian ring is finitely generated over its initial subring which is also artinian. These results extend theorems of Gordon and Green on artin algebras. Other results relating the structure of a graded ring to that of its initial subring are also presented.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1982-086-01/S0002-9939-1982-0663852-5/S0002-9939-1982-0663852-5.pdf

Reference6 articles.

1. Graduate Texts in Mathematics, Vol. 13;Anderson, Frank W.,1974

2. G. Bergman, On Jacobson radicals of graded rings, preprint.

3. The category of graded modules;Fossum, Robert;Math. Scand.,1974

4. Graded Artin algebras;Gordon, Robert;J. Algebra,1982

5. \bysame, Representation theory of graded artin algebras, preprint.

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