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<p>This is a direct continuation of <i>Nonsimple collections of cells whose inner 2-minors ideals are prime: I</i>. By introducing a new method called separation and some new constructions, two classes of prime collections of cells are given in this paper. One class consists of polyominoes, each of which contains a good rectangle piece; the other consists of the so-called extended bipartite collections of cells. These two classes include most of the known nonsimple prime collections of cells.</p>

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Nonsimple collections of cells whose inner 2-minors ideals are prime: II

  • 期刊论文

  • 发表日期：

    2026年1月30日

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  • Lu Zheng,
  • Jin Guo,
  • Tongsuo Wu

摘要

This is a direct continuation of Nonsimple collections of cells whose inner 2-minors ideals are prime: I. By introducing a new method called separation and some new constructions, two classes of prime collections of cells are given in this paper. One class consists of polyominoes, each of which contains a good rectangle piece; the other consists of the so-called extended bipartite collections of cells. These two classes include most of the known nonsimple prime collections of cells.