JP Journal of Algebra, Number Theory and Applications
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Abstract: It is known that if is a 2-dimensional Cohen-Macaulay
local ring with infinite residue field and if I
is a primary ideal which is equal to its Ratliff-Rush closure, then for all under certain conditions.Inthispaper,thisresultis generalised to the Hilbert polynomial and Hilbert function of a module
M with respect to an ideal I.
A result on the independence of the reduction number is also proved.
Keywords and phrases: Hilbert polynomial, Hilbert function, Ratliff-Rush closure, integral closure.
