Similarity Classes of Linear Transformations

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Authors

  • Puja Bharti
     Department of Mathematics, Central University of Jharkhand, Ranchi ,IN
  • Jagmohan Tanti
     Department of Mathematics, Central University of Jharkhand, Ranchi ,IN

DOI:

https://doi.org/10.18311/jims/2020/25448

Keywords:

Vector Spaces, Linear transformations, Finitely generated modules, Partitions of integers

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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Published

2020-07-01

How to Cite

Bharti, P., & Tanti, J. (2020). Similarity Classes of Linear Transformations. The Journal of the Indian Mathematical Society, 87(3-4), 148–164. https://doi.org/10.18311/jims/2020/25448

Issue

Volume 87, Issue 3-4, July-December 2020

Section

Articles

License

Copyright (c) 2020 Puja Bharti, Jagmohan Tanti

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2020-06-07
Accepted 2023-01-30
Published 2020-07-01

 

References

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