On the Degree of the Kodiyalam Polynomials of a Graded Ideal in the Polynomial Ring

G. Failla

Universitá Mediterranea di Reggio Calabria

Abstract: In this paper, we compute the degree of the Kodiyalam polynomials of an ideal in the case where its Rees ring is Cohen–Macaulay and its fiber ring is a domain. We apply this result to some classes of polymatroidal ideals.

Keywords: polymatroidal ideals, Kodiyalam polynomials.

UDC: 512.7

Received: 21.07.2017
Revised: 01.10.2017

DOI: 10.4213/mzm11753

 English version: Mathematical Notes, 2019, 106:1, 108–112

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