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A formal theory of matrix primeness. (English) Zbl 0898.93008
This paper gives a nice compound of problems and applications related to multivariable polynomial matrix primeness, with particular regard to multivariable \((nD)\) systems. A strong algebraic basis is provided, e.g. the frequently used Gröbner bases.

MSC:
93B25 Algebraic methods
93C35 Multivariable systems, multidimensional control systems
13C15 Dimension theory, depth, related commutative rings (catenary, etc.)
15A23 Factorization of matrices
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