مشخصات پژوهش

عنوان	Skeletons of monomial ideals
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Monomial ideals;depth;skeleton;Cohen−Macaulay;Stanley decompositions
چکیده	In analogy to the skeletons of a simplicial complex and their Stanley–Reisner ideals we introduce the skeletons of an arbitrary monomial ideal I ⊂ S = K [x1, …, xn ]. This allows us to compute the depth of S /I in terms of its skeleton ideals. We apply these techniques to show that Stanley's conjecture on Stanley decompositions of S /I holds provided it holds whenever S /I is Cohen–Macaulay. We also discuss a conjecture of Soleyman Jahan and show that it suffices to prove his conjecture for monomial ideals with linear resolution
پژوهشگران	خین خیان ژنگ (نفر سوم)، علی سلیمان جهان (نفر دوم)، یورگن هرزوگ (نفر اول)