Betti numbers for modules of finite length
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- by Hara Charalambous, E. Graham Evans and Matthew Miller PDF
- Proc. Amer. Math. Soc. 109 (1990), 63-70 Request permission
Abstract:
Let $R$ be a Gorenstein local ring of dimension $d < 5$ and let $M$ be a module of finite length and finite projective dimension. If $M$ is not isomorphic to $R$ modulo a regular sequence, then the Betti numbers of $M$ satisfy ${\beta _i}(M) > (_i^d)$ for $0 < i < d$, and $\sum \nolimits _{i = 0}^d {{\beta _i}(M) \geq {2^d} + {2^{d - 1}}}$.References
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Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 109 (1990), 63-70
- MSC: Primary 13H10; Secondary 13H15
- DOI: https://doi.org/10.1090/S0002-9939-1990-1013967-1
- MathSciNet review: 1013967