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The homotopy theory of complete modules

Pol, Luca ; Williamson, Jordan



Zusammenfassung

Given a commutative ring R and finitely generated ideal I, one can consider the classes of I-adically complete, L-0(I)-complete and derived I -complete complexes. Under a mild assumption on the ideal I called weak pro-regularity, these three notions of completions interact well. We consider the classes of I-adically complete, L-0(I)-complete and derived I -complete complexes and prove that they ...

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