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Some remarks on non-commutative principal ideal rings |
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| Authors: | Sylvain Carpentier Alberto De Sole Victor G Kac |
| Institution: | 1. École normale supérieure, 75005 Paris, France;2. Dipartimento di matematica, University of Rome-1, “La Sapienza”, 00185 Roma, Italy;3. Department of Mathematics, M.I.T., Cambridge, MA 02139, USA |
| 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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