A Purity Theorem for Quadratic Spaces

被引：0

作者：

Panin I. ^{[1
]}

机构：

[1] St.Petersburg Department of the Steklov Mathematical Institute, St. Petersburg

来源：

Journal of Mathematical Sciences | 2022年 / 261卷 / 4期

关键词：

D O I：

10.1007/s10958-022-05769-0

中图分类号：

学科分类号：

摘要：

A purity theorem for quadratic spaces over semilocal regular integral domain containing a field of odd characteristic is proved. The theorem extends results previously obtained by the author (also in collaboration with K. Pimenov) to the semilocal case. The proof is based on extending the purity theorem of Ojanguren–Panin to this more general setting. © 2022, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：567 / 570

页数：3

共 50 条

[41] ON WITTS THEOREM FOR UNIMODULAR QUADRATIC FORMS
JAMES, DG
PACIFIC JOURNAL OF MATHEMATICS, 1968, 26 (02) : 303 - &
[42] A SPLITTING THEOREM FOR QUADRATIC-FORMS
OJANGUREN, M
COMMENTARII MATHEMATICI HELVETICI, 1982, 57 (01) : 145 - 157
[43] A universal coefficient theorem for quadratic functors
Baues, HJ
Pirashvili, T
JOURNAL OF PURE AND APPLIED ALGEBRA, 2000, 148 (01) : 1 - 15
[44] The norm theorem for semisingular quadratic forms
Laghribi, Ahmed
Mukhija, Diksha
JOURNAL OF PURE AND APPLIED ALGEBRA, 2021, 225 (06)
[45] A quadratic speedup theorem for iterative arrays
Iwamoto, C
Tateishi, K
Morita, K
Imai, K
ACTA INFORMATICA, 2002, 38 (11-12) : 847 - 858
[46] A quadratic speedup theorem for iterative arrays
Chuzo Iwamoto
Katsuyuki Tateishi
Kenichi Morita
Katsunobu Imai
Acta Informatica, 2002, 38 : 847 - 858
[47] A Theorem about Three Quadratic Forms
Dragicevic, Oliver
Treil, Sergei
Volberg, Alexander
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2008, 2008
[48] Alternative theorem for quadratic forms and extensions
Crouzeix, J.P.
Martinez-Legas, J.E.
Seeger, A.
Linear Algebra and Its Applications, 1995, 215
[49] Heuristic quadratic approximation for the universality theorem
Gonzalo Hernández
Rafael Plaza
Luis Salinas
Cluster Computing, 2014, 17 : 281 - 289
[50] COMPARISON THEOREM FOR DIAGONALLY QUADRATIC BSDES
Luo, Peng
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2021, 41 (06) : 2543 - 2557

← 1 2 3 4 5 →