عنوان	A remark on sequentially Cohen-Macaulay monomial ideals
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Sequentially Cohen-Macaulay‎, ‎Monomial ideals‎, ‎Shedding vertex
چکیده	‎Let $R=K[x_1,\ldots,x_n]$ be the polynomial ring in $n$ variables over a field $K$‎. ‎We show that if $G$ is a connected graph with a basic $5$-cycle $C$‎, ‎then $G$ is a sequentially Cohen-Macaulay graph if and only if there exists a shedding vertex $x$ of $C$ such that $G\setminus x$ and $G\setminus N[x]$ are sequentially Cohen-Macaulay graphs‎. ‎Furthermore‎, ‎we study the sequentially Cohen-Macaulay and Castelnuovo-Mumford regularity of square-free monomial ideals in some special cases‎.
پژوهشگران	مژگان کولانی (نفر اول)، امیر مافی (نفر دوم)