English

Some remarks on non-commutative principal ideal rings

Rings and Algebras 2015-12-18 v1 Mathematical Physics math.MP Exactly Solvable and Integrable Systems

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.

Keywords

Cite

@article{arxiv.1305.0380,
  title  = {Some remarks on non-commutative principal ideal rings},
  author = {Sylvain Carpentier and Alberto De Sole and Victor G. Kac},
  journal= {arXiv preprint arXiv:1305.0380},
  year   = {2015}
}

Comments

4 pages

R2 v1 2026-06-22T00:10:03.300Z