عنوان	Polymatroidal ideals and linear resolution
نوع پژوهش	مقاله‌ی منتشر شده در نشریه
کلیدواژه‌ها	Polymatroidal ideals, Monomial localization, Linear quotients, Linear resolution, Homological shift ideal
چکیده	Let S = K[x_1,...,x_n] be a polynomial ring over a field K and I \subset S be a monomial ideal with a linear resolution. Let m = (x_1,...,x_n) be the unique homogeneous maximal ideal and Im be a polymatroidal ideal. We prove that if either Im is polymatroidal with strong exchange property, or I is a monomial ideal in at most 4 variables, then I is polymatroidal. We also show that the first homological shift ideal of polymatroidal ideal is again polymatroidal.
پژوهشگران	سمیه بندری (نفر اول)