On the Vanishing of Homology with Modules of Finite Length

Autores: Petter Andreas Bergh
Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 112, Nº 1, 2013, págs. 11-18
Idioma: inglés
DOI: 10.7146/math.scand.a-15230
Enlaces
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Resumen
- We study the vanishing of homology and cohomology of a module of finite complete intersection dimension over a local ring. Given such a module of complexity c, we show that if c (co)homology groups with a module of finite length vanish, then all higher (co)homology groups vanish.