عنوان Computing Grobner bases of an expanded set of polynomials نوع پژوهش مقاله ارائه شده کلیدواژهها Macaulay matrix; polynomials ideals; Grobner basis. چکیده In this paper, we prepare some structural results on Grobner bases of expanded toric ideals in polynomial rings. In this way, we can use the algorithm presented in [3] to computing Grobner bases of polynomial ideals by using Macaulay matrices. پژوهشگران رحیمرحمتی اصغر (نفر اول)