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  • Symmetric and ▫$r$▫-symmetric tropical polynomials and rational functions
    Carlsson, Gunnar, 1952- ; Kališnik Verovšek, Sara, 1986-
    A tropical polynomial in ▫$nr$▫ variables, divided into blocks of ▫$r$▫ variables each, is ▫$r$▫-symmetric if it is invariant under the action of▫ $S_n$▫ that permutes the blocks. For ▫$r = 1$▫ we ... call these symmetric tropical polynomials. We can define ▫$r$▫-symmetric and symmetric tropical rational functions in a similar manner. In this paper we identify generators for the sets of symmetric tropical polynomials and rational functions. While ▫$r$▫-symmetric tropical polynomials are not finitely generated for ▫$r \geq 2$▫, we show that ▫$r$▫-symmetric tropical rational functions are and provide a list of generators.
    Vir: Journal of Pure and Applied Algebra. - ISSN 0022-4049 (Vol. 220, iss. 11, 2016, str. 3610-3627)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2016
    Jezik - angleški
    COBISS.SI-ID - 18083161

    Povezava(-e):

    http://dx.doi.org/10.1016/j.jpaa.2016.05.002
    DOI

vir: Journal of Pure and Applied Algebra. - ISSN 0022-4049 (Vol. 220, iss. 11, 2016, str. 3610-3627)

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