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arxiv: 1305.0380 · v1 · pith:NW2OKZODnew · submitted 2013-05-02 · 🧮 math.RA · math-ph· math.MP· nlin.SI

Some remarks on non-commutative principal ideal rings

Sylvain Carpentier , Alberto De Sole , Victor G. Kac This is my paper
classification 🧮 math.RA math-phmath.MPnlin.SI
keywords differentialidealnon-commutativeprincipalresultsringssomealgebraic
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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 used in the theory of non-local Poisson structures.

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