A Characterization of Sequentially Cohen-Macaulay Matroidal Ideals  

作　　者：Payman Mahmood Hamaali Amir Mafi Hero Saremi 

机构地区：[1]Department of Mathematics,College of Science,University of Sulaimani Sulaimanyah,Kurdistan Region,Iraq [2]Department of Mathematics,University of Kurdistan P.O.Box:416,Sananda,Iran [3]Department of Mathematics,Sanandaj Branch Islamic Azad University,Sanandaj,Iran

出　　处：《Algebra Colloquium》2023年第2期237-244,共8页代数集刊（英文版）

摘　　要：Let R=K[x1,…,xn]be the polynomial ring in n variables over a field K and I be a matroidal ideal of R.We show that I is sequentially Cohen-Macaulay if and only if the Alexander dual Iy has linear quotients.As a consequence,I is sequentially Cohen-Macaulay if and only if I is shellable.

关 键 词：sequentially Cohen-Macaulay monomial ideals matroidal ideals 

分 类 号：O15[理学—数学]