Distributive lattices of right divisors of linear ordinary differential operators

Authors:
A. V. Purgin
Affiliations:
Department of Mathematics, Krasnoyarsk State Pedagogical University, Krasnoyarsk, Russia 660049
Venue:
Programming and Computing Software
Year:
2009

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Lattices of right divisors of linear ordinary differential operators

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Abstract

In the paper, combinatorial issues of the factorization of linear ordinary differential operators are studied. It is proved that any finite distributive lattice is that of right divisors of some d'Alembert linear ordinary differential operator with the coefficients belonging to the differential field C(x) of rational functions.