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

Harvard

Iwasa, R 2020, 'Homology pro stability for tor-unital pro rings', Homology, Homotopy and Applications, bind 22, nr. 1, s. 343-374. https://doi.org/10.4310/HHA.2020.v22.n1.a20

APA

Iwasa, R. (2020). Homology pro stability for tor-unital pro rings. Homology, Homotopy and Applications, 22(1), 343-374. https://doi.org/10.4310/HHA.2020.v22.n1.a20

Vancouver

Iwasa R. Homology pro stability for tor-unital pro rings. Homology, Homotopy and Applications. 2020;22(1):343-374. https://doi.org/10.4310/HHA.2020.v22.n1.a20

Author

Iwasa, Ryomei. / Homology pro stability for tor-unital pro rings. I: Homology, Homotopy and Applications. 2020 ; Bind 22, Nr. 1. s. 343-374.

Bibtex

@article{209358aab45b45a1904dfe3c496d13a2,
title = "Homology pro stability for tor-unital pro rings",
abstract = "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.",
keywords = "Homology stability, K-theory excision, Tor-unitality",
author = "Ryomei Iwasa",
year = "2020",
doi = "10.4310/HHA.2020.v22.n1.a20",
language = "English",
volume = "22",
pages = "343--374",
journal = "Homology, Homotopy and Applications",
issn = "1532-0073",
publisher = "International Press",
number = "1",

}

RIS

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