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THE TOP LEFT DERIVED FUNCTORS OF THE GENERALISED $I$-ADIC COMPLETION
Published online by Cambridge University Press: 04 January 2013
Abstract
We study the top left derived functors of the generalised $I$-adic completion and obtain equivalent properties concerning the vanishing or nonvanishing of the modules ${L}_{i} {\Lambda }_{I} (M, N)$. We also obtain some results for the sets $\text{Coass} ({L}_{i} {\Lambda }_{I} (M; N))$ and ${\text{Cosupp} }_{R} ({ H}_{i}^{I} (M; N))$.
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- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 88 , Issue 2 , October 2013 , pp. 259 - 266
- Copyright
- Copyright ©2012 Australian Mathematical Publishing Association Inc.