Betti numbers of strongly color-stable ideals and squarefree strongly color-stable ideals

Satoshi Murai*

*この研究の対応する著者

研究成果: Article査読

2 被引用数 (Scopus)

抄録

In this paper, we will show that the color-squarefree operation does not change the graded Betti numbers of strongly color-stable ideals. In addition, we will give an example of a nonpure balanced complex which shows that colored algebraic shifting, which was introduced by Babson and Novik, does not always preserve the dimension of reduced homology groups of balanced simplicial complexes.

本文言語English
ページ(範囲)383-398
ページ数16
ジャーナルJournal of Algebraic Combinatorics
27
3
DOI
出版ステータスPublished - 2008 5
外部発表はい

ASJC Scopus subject areas

  • 代数と数論
  • 離散数学と組合せ数学

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