Open Access
Subscription Access
Open Access
Subscription Access
Similarity Classes of Linear Transformations
Subscribe/Renew Journal
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.
Keywords
Vector Spaces, Linear transformations, Finitely generated modules, Partitions of integers
Subscription
Login to verify subscription
User
Font Size
Information
- S. K. Chebolu and J. Minac, Counting irreducible polynomials over finite fields using the inclusion-exclusion principle, Math. Mag., 84. (5)( 2011), 369-371.
- D. S. Dummit and R. M.Foote, Abstract Algebra, Second Edition, Wiley India, 2009.
- K. Hoffman and R. Kunze, Linear Algebra, Second Edition, Prentice-Hall, New Delhi, 1991.
- K. E. Morrison, Integer sequences and matrices over finite fields, J. Integer Sequences, 9. (6.2.1)(2006), 1–27.
Abstract Views: 450
PDF Views: 1