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Purities and Pure Injective Modules over Serial, Right Noetherian Rings

✍ Scribed by I. M. Zilberbord

Book ID: 111595766
Publisher: Springer US
Year: 2004
Tongue: English
Weight: 194 KB
Volume: 124
Category: Article
ISSN: 1573-8795
DOI: 10.1023/b:joth.0000042315.64899.9a

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ww xx Let k be an algebraically closed field of characteristic zero, O O s k x , . . . , x n 1 n the ring of formal power series over k, and D D the ring of differential operators n over O O . Suppose that is a prime ideal of O O of height n y 1; i.e., A s O O r is a n n n curve. We prove that every