Similarity Classes of Linear Transformations

Q4 Mathematics

Journal of the Indian Mathematical Society Pub Date : 2020-07-01 DOI:10.18311/jims/2020/25448

Puja Bharti, J. Tanti

引用次数: 0

Abstract

In this paper, we investigate the similarity classes of linear transformations on a vector space using structure theorem for finitely generated modules over a principal ideal domain. We also establish formulae to count similarity classes with a given polynomial as a characteristic polynomial and to count total number of classes when the scalar field is finite.

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线性变换的相似类

本文利用主理想域上有限生成模的结构定理，研究了向量空间上线性变换的相似类。建立了以给定多项式作为特征多项式计算相似类的公式，以及标量域有限时计算类总数的公式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of the Indian Mathematical Society Mathematics-Mathematics (all)

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). From 1910 onwards,it is published as its current title ''the Journal of Indian Mathematical Society. The four issues of the Journal constitute a single volume and it is published in two parts: issues 1 and 2 (January to June) as one part and issues 3 and 4 (July to December) as the second part. The four issues of the Mathematics Student (another periodical of the Society) are published as a single yearly volume. Only the original research papers of high quality are published in the Journal of Indian Mathematical Society.