Matrix zeros of quadratic equations (Q1110575)

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scientific article; zbMATH DE number 4073123
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Matrix zeros of quadratic equations
scientific article; zbMATH DE number 4073123

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    Matrix zeros of quadratic equations (English)
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    1988
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    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.
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    principal ideal domain
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    matrix zeros
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