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On the Finiteness of the Global Dimension for Artinian Rings

✍ Scribed by Andrzej Skowroński; Sverre O. Smalø; Dan Zacharia

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
51 KB
Volume
251
Category
Article
ISSN
0021-8693

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✦ Synopsis

In this note we prove that for a left artinian ring of infinite global dimension there exists an indecomposable left module with both infinite projective dimension and infinite injective dimension.  2002 Elsevier Science (USA)

The purpose of this note is to prove the following theorem motivated by some results from [HRS].

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