Representatives of similarity classes of matrices over PIDs corresponding to ideal classes
(2023)
Journal Article
Knight, L., & Stasinski, A. (2023). Representatives of similarity classes of matrices over PIDs corresponding to ideal classes. Glasgow Mathematical Journal, 1-16. https://doi.org/10.1017/s0017089523000356
For a principal ideal domain A, the Latimer–MacDuffee correspondence sets up a bijection between the similarity classes of matrices in Mn(A) with irreducible characteristic polynomial f(x) and the ideal classes of the order A[x]/(f(x)). We prove that... Read More about Representatives of similarity classes of matrices over PIDs corresponding to ideal classes.