Homology pro stability for tor-unital pro rings
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Homology pro stability for tor-unital pro rings. / Iwasa, Ryomei.
I: Homology, Homotopy and Applications, Bind 22, Nr. 1, 2020, s. 343-374.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Homology pro stability for tor-unital pro rings
AU - Iwasa, Ryomei
PY - 2020
Y1 - 2020
N2 - Let [Am]m be a pro system of associative commutative, not necessarily unital, rings. Assume that the pro systems of Torgroups vanish for all i > 0. Then we prove that the pro systems [Hl(GLn(Am)]m stabilize up to pro isomorphisms for n large enough relative to l and the stable range of Am's.
AB - Let [Am]m be a pro system of associative commutative, not necessarily unital, rings. Assume that the pro systems of Torgroups vanish for all i > 0. Then we prove that the pro systems [Hl(GLn(Am)]m stabilize up to pro isomorphisms for n large enough relative to l and the stable range of Am's.
KW - Homology stability
KW - K-theory excision
KW - Tor-unitality
UR - http://www.scopus.com/inward/record.url?scp=85077998281&partnerID=8YFLogxK
U2 - 10.4310/HHA.2020.v22.n1.a20
DO - 10.4310/HHA.2020.v22.n1.a20
M3 - Journal article
AN - SCOPUS:85077998281
VL - 22
SP - 343
EP - 374
JO - Homology, Homotopy and Applications
JF - Homology, Homotopy and Applications
SN - 1532-0073
IS - 1
ER -
ID: 243063672