Adnan Aslam: The stable set of associated prime ideals of a squarefree principal Borel ideal, p.243-252

Abstract:

It is shown that a squarefree principal Borel ideal satisfies the persistence property for the associated prime ideals. For the graded maximal ideal we compute the index of stability with respect to squarefree principal Borel ideals and determine their stable set of associated prime ideals.

Key Words: Associated prime ideals, polymatroidal ideals, analytic spread.

2000 Mathematics Subject Classification: Primary: 13C13;
Secondary: 13A30, 13F99, 05E40.

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