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arXiv · 1305.0380

Some remarks on non-commutative principal ideal rings

Sylvain Carpentier·Alberto De Sole·Victor G. Kac
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Abstract

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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Sylvain Carpentier, Alberto De Sole, Victor G. Kac. 2013-05-02. Some remarks on non-commutative principal ideal rings. https://doi.org/10.1016/j.crma.2013.01.006

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