Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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THE CONSTRUCTION OF SOME LEVEL ARTINIAN O-SEQUENCES

  • Shin, Yong-Su (Department of Mathematics, Sungshin Women's University)
  • Published : 2006.01.01

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Abstract

We find a graded Artinian level O-sequence of the form $H\;:\;h_0\;h_1\;\cdots\;h_{d-1}\;h_d\cdots$ $^{(d+1-1_)-st}h_d$ < $h_{d+s}$ not having the Weak-Lefschetz property. We also introduce several algorithms for construction of some examples of non-unimodal level O-sequences using a computer program called CoCoA.

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