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THE TOP LEFT DERIVED FUNCTORS OF THE GENERALISED
$I$-ADIC COMPLETION
- Part of
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- Journal:
- Bulletin of the Australian Mathematical Society / Volume 88 / Issue 2 / October 2013
- Published online by Cambridge University Press:
- 04 January 2013, pp. 259-266
- Print publication:
- October 2013
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- Article
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- You have access
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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 
${\text{Cosupp} }_{R} ({ H}_{i}^{I} (M; N))$.
