descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1988 English Publisher:Elsevier BVJournal:Journal of Number Theory, volume 30, pages 27-50 (issn: 0022-314X,

Authors: Galia Dafni; Leonid N. Vaserstein;

doi: 10.1016/0022-314x(88)90024-8

Matrix zeros of quadratic equations

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Abstract

Let A be a commutative principal ideal domain and assume that \(a,b\in A\). In this paper the authors describe (up to similarity) all the matrix zeros of the polynomial (x-a)(x-b). In terms of representation theory, they also describe and enumerate all representations of the ring A[x]/(x- a)(x-b)A[x] over A.

Related Organizations

Pennsylvania State University
United States

Keywords

Polynomial rings and ideals; rings of integer-valued polynomials, matrix zeros, Algebra and Number Theory, principal ideal domain, Matrix equations and identities, Polynomials over commutative rings

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