مشخصات پژوهش

عنوان	On Non-standard Hilbert Functions
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	polynomial ring, non-standard Hilbert function, Hermite normal form
چکیده	Let S = k[x1; : : : ; xn] be a non-standard polynomial ring over a eld k and let M be a nitely generated graded S-module. In this paper, we investigate the behaviour of Hilbert function of M and its relations with lattice point counting. More precisely, by using combinatorial tools, we prove that there exists a polytope such that the image of Hilbert function in some degree is equal to the number of lattice points of this polytope.
پژوهشگران	امیر باقری (نفر اول)، رحیم رحمتی اصغر (نفر دوم)