Some remarks on units in Grothendieck-Witt rings

JOURNAL OF ALGEBRA

卷:499

Article

Bachmann, Tom^1,2 

[1] Ludwig Maximilians Univ Munchen, Munich, Germany

[2] Univ Duisburg Essen, Fak Math, Thea Leymann Str 9, D-45127 Essen, Germany

关键词: Grothendieck-Witt ring;    Multiplicative transfer;    Homotopy module;    Unit;   

DOI  :  10.1016/j.jalgebra.2017.12.004

来源: Elsevier

【 摘 要 】

We establish new structures on Grothendieck-Witt rings, including a GW (k)-module structure on the unit group GW(k)(x) and a presentation of (GW) under bar (x) as an infinite G(m)-loop sheaf. Even though our constructions are motivated by speculations in stable A(1)-homotopy theory, our arguments are purely algebraic. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free