Sequentially Cohen-macaulay Monomial Ideals of Embedding Dimension Four

نویسندگان

  • SARFRAZ AHMAD
  • DORIN POPESCU
چکیده

Let I be a monomial ideal of the polynomial ring S = K[x1, . . . , x4] over a field K. Then S/I is sequentially Cohen-Macaulay if and only if S/I is pretty clean. In particular, if S/I is sequentially Cohen-Macaulay then I is a Stanley ideal.

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تاریخ انتشار 2008