On Graded Rings with Finiteness Conditions

V. P. Camillo; K. R. Fuller

doi:10.1090/S0002-9939-1982-0663852-5

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On Graded Rings with Finiteness Conditions

Journal article

Open access

On Graded Rings with Finiteness Conditions

V. P. Camillo and K. R. Fuller

Proceedings of the American Mathematical Society, Vol.86(1), pp.1-5

09/01/1982

DOI: 10.1090/S0002-9939-1982-0663852-5

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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.

Algebra

Mathematics

Homomorphisms

Mathematical rings

Mathematical theorems

Preprints

Subrings

Details

Title: Subtitle: On Graded Rings with Finiteness Conditions
Creators: V. P. Camillo
K. R. Fuller
Resource Type: Journal article
Publication Details: Proceedings of the American Mathematical Society, Vol.86(1), pp.1-5
Publisher: American Mathematical Society
DOI: 10.1090/S0002-9939-1982-0663852-5
ISSN: 0002-9939
eISSN: 1088-6826
Language: English
Date published: 09/01/1982
Academic Unit: Mathematics
Record Identifier: 9984241046402771

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