CONGRUENCE OF SYMMETRIC INNER PRODUCTS OVER FINITE COMMUTATIVE RINGS OF ODD CHARACTERISTIC

被引：0

作者：

Sriwongsa, Songpon ^{[1
]}

机构：

[1] Univ Wisconsin, Dept Math Sci, Milwaukee, WI 53211 USA

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2017年 / 96卷 / 03期

关键词：

congruence; local ring; symmetric inner product;

D O I：

10.1017/S0004972717000405

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a finite commutative ring of odd characteristic and let V be a free R-module of finite rank. We classify symmetric inner products defined on V up to congruence and find the number of such symmetric inner products. Additionally, if R is a finite local ring, the number of congruent symmetric inner products defined on V in each congruence class is determined.

引用

页码：389 / 397

页数：9

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