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Similarity of matrices over local rings

✍ Scribed by Robert M. Guralnick

Publisher: Elsevier Science
Year: 1981
Tongue: English
Weight: 819 KB
Volume: 41
Category: Article
ISSN: 0024-3795
DOI: 10.1016/0024-3795(81)90096-3

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We show that the following two conditions, for each integer r G 1, are equivalent for a finitely generated module M over a complete Noetherian local ring Ž . R, ᒊ : embeddable in E r , where E denotes the injective hull of the residue field Rrᒊ. Ž . r Ž . b Either M ; E , or else dim Hom Rrᒊ, M s k