A new characterisation of hereditary PI rings
UNSPECIFIED (2003) A new characterisation of hereditary PI rings. ISRAEL JOURNAL OF MATHEMATICS, 133 . pp. 93-146. ISSN 0021-2172Full text not available from this repository.
In this paper we prove a new characterisation of hereditary PI rings, namely we show that a Noetherian, but not Artinian, PI ring R that is an order in an Artinian ring splits into a direct sum of an Artinian ring of finite representation type and hereditary semiprime rings if and only if all its proper Artinian factor rings are of finite representation type. We also show, through examples, that the above characterisation does not hold for some more general settings.
|Item Type:||Journal Article|
|Subjects:||Q Science > QA Mathematics|
|Journal or Publication Title:||ISRAEL JOURNAL OF MATHEMATICS|
|Number of Pages:||54|
|Page Range:||pp. 93-146|
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