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arXiv · 1501.00297

Complete Homology over associative rings

Olgur Celikbas·Lars Winther Christensen·Li Liang·Greg Piepmeyer
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Abstract

We compare two generalizations of Tate homology: stable homology and the J-completion of Tor, also known as complete homology. For finitely generated modules, we show that the two theories agree over Artin algebras and over commutative noetherian rings that are Gorenstein, or local and complete.

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Olgur Celikbas, Lars Winther Christensen, Li Liang, Greg Piepmeyer. 2015-06-01. Complete Homology over associative rings. https://arxiv.org/abs/1501.00297

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