Hermitian and skew hermitian forms over local rings

被引：2

作者：

Cruickshank, James ^{[1
]}

Quinlan, Rachel ^{[1
]}

Szechtman, Fernando ^{[2
]}

机构：

[1] Natl Univ Ireland Galway, Sch Math Stat & Appl Math, Galway, Ireland

[2] Univ Regina, Dept Math & Stat, Regina, SK, Canada

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2018年 / 551卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Local ring; Discrete valuation ring; Hermitian; Skew hermitian; SESQUILINEAR FORMS; QUADRATIC-FORMS; CONGRUENCE; MATRICES; FIELDS;

D O I：

10.1016/j.laa.2018.04.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the structure of possibly degenerate epsilon-hermitian forms over local rings. We prove classification theorems in the cases where the ring is complete and either the form is nondegenerate or the ring is a discrete valuation ring. In the latter case we describe a complete set of invariants for such forms based on a generalisation of the classical notion of the radical of the form. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：147 / 161

页数：15

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