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Matrix zeros of quadratic equations. (English) Zbl 0657.13005

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.
Reviewer: Xu Yonghua

MSC:

13B25 Polynomials over commutative rings
15A24 Matrix equations and identities
13F20 Polynomial rings and ideals; rings of integer-valued polynomials
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