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Some Restrictions on the Maps in Minimal Resolutions

โœ Scribed by Jee Koh; Kisuk Lee

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
237 KB
Volume
202
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

We show that there are certain restrictions on the entries of the maps in the minimal free resolutions of finitely generated modules of infinite projective dimension over Noetherian local rings. These restrictions provide a way to slightly improve Herzog's characterization of modules of finite projective and injective dimensions in characteristic p ) 0. We also discuss other homological situations related to these restrictions, including previously known results on the existence of free summands in syzygy modules.

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