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Distributive 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.

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Authors and Affiliations

  1. Department of Mathematics, Krasnoyarsk State Pedagogical University, ul. Perensona 7, Krasnoyarsk, 660049, Russia

    A. V. Purgin

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  1. A. V. Purgin
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Correspondence to A. V. Purgin.

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Original Russian Text © A.V. Purgin, 2009, published in Programmirovanie, 2009, Vol. 35, No. 2.

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Purgin, A.V. Distributive lattices of right divisors of linear ordinary differential operators. Program Comput Soft 35, 98–104 (2009). https://doi.org/10.1134/S0361768809020054

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