Similarity Classes of Linear Transformations


  • Central University of Jharkhand, Department of Mathematics, Ranchi, Jharkhand, India


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.


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

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