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On Realization Theory for Generalized State-Space Systems over a Commutative Ring
1994The problem of finding a state-space realization for a given rational matrix over a commutative ring is considered. To simplify the problem, we assume a certain factored structure for the denominator polynomials in the matrix. Our main results state that this class of matrices is a module which can be decomposed into two independent and isomorphic ...
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On the Homology Theory of General Commutative Rings
Journal of the London Mathematical Society, 1961openaire +1 more source
László Fuchs’s contributions to commutative ring theory
Periodica Mathematica Hungarica, 2014Bruce Olberding +2 more
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On the Genus of the Total Graph of a Commutative Ring
Communications in Algebra, 2013T Tamizh Chelvam, T Asir
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On the Total Graph and Its Complement of a Commutative Ring
Communications in Algebra, 2013T Asir, T Tamizh Chelvam
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Imbeddability of a commutative ring in a finite-dimensional ring
Manuscripta Mathematica, 1994Robert Gilmer +2 more
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Primary ideals with finitely generated radical in a commutative ring
Manuscripta Mathematica, 1993Robert Gilmer +2 more
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