首页|A Characterization of Sequentially Cohen-Macaulay Matroidal Ideals

A Characterization of Sequentially Cohen-Macaulay Matroidal Ideals

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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 IV has linear quotients.As a consequence,I is sequentially Cohen-Macaulay if and only if I is shellable.

sequentially Cohen-Macaulaymonomial idealsmatroidal ideals

Payman Mahmood Hamaali、Amir Mafi、Hero Saremi

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Department of Mathematics,College of Science,University of Sulaimani Sulaimanyah,Kurdistan Region,Iraq

Department of Mathematics,University of Kurdistan P.O.Box:416,Sananda,Iran

Department of Mathematics,Sanandaj Branch Islamic Azad University,Sanandaj,Iran

2023

代数集刊(英文版)

代数集刊(英文版)

CSCD北大核心
ISSN:1005-3867
年,卷(期):2023.30(2)
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