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- W2768764949 abstract "Let ${A_m}$ be a pro system of associative commutative, not necessarily unital, rings. Assume that the pro systems ${mathrm{Tor}^{mathbb{Z}ltimes A_m}_i(mathbb{Z},mathbb{Z})}_m$ vanish for all $i>0$. Then we prove that the sequence [ {H_l(mathrm{GL}_n(A_m))}_m to {H_l(mathrm{GL}_{n+1}(A_m))}_m to {H_l(mathrm{GL}_{n+2}(A_m)}_m to cdots ] stabilizes up to pro isomorphisms for $n$ large enough than $l$ and the stable range of $A_m$'s." @default.
- W2768764949 created "2017-12-04" @default.
- W2768764949 creator A5038856533 @default.
- W2768764949 date "2016-10-17" @default.
- W2768764949 modified "2023-09-24" @default.
- W2768764949 title "Homology pro stability for Tor-unital pro rings" @default.
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- W2768764949 doi "https://doi.org/10.48550/arxiv.1610.04998" @default.
- W2768764949 hasPublicationYear "2016" @default.
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