NDLI: On Stable Noetherian Rings

Content Provider	Scilit
Author	Papp, Zoltán
Copyright Year	1975
Description	A ring R is called stable if every localizing subcategory of is closed under taking injective envelopes. In this paper the stable noetherian rings are characterized in terms of the idempotent kernel functors of (O. Goldman [5]). The stable noetherian rings, the classical rings (Riley [11]) and the noetherian rings ``with sufficiently many two-sided ideals'' (Gabriel [4]) are compared and their relationships are studied. The close similarity between the commutative noetherian rings and the stable noetherian rings is also pointed out in the results.
Related Links	https://www.ams.org/tran/1975-213-00/S0002-9947-1975-0393120-1/S0002-9947-1975-0393120-1.pdf
Ending Page	114
Page Count	8
Starting Page	107
ISSN	00029947
e-ISSN	10886850
DOI	10.2307/1998039
Journal	Transactions of the American Mathematical Society
Volume Number	213
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	Logic Anti-archimedean Multiplicative Set Generalized Power Series Ring S-finite Ideal S-noetherian Ring
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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