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math.RA2013★ 7 cited
Singular degree of a rational matrix pseudodifferential operator
Sylvain Carpentier, Alberto De Sole, Victor G. kac
In our previous work we studied minimal fractional decompositions of a rational matrix pseudodifferential operator: H=A/B, where A and B are matrix differential operators, and B is…
math.RA2013★ 9 cited
Some remarks on non-commutative principal ideal rings
Sylvain Carpentier, Alberto De Sole, Victor G. Kac
We prove some algebraic results on the ring of matrix differential operators over a differential field in the generality of non-commutative principal ideal rings. These results are…