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<p>We prove that two principal ideals in a plactic monoid always intersect. This means that the plactic monoids are both left and right reversible. This result holds for both finite rank plactic monoids and the infinite rank plactic monoid.</p>

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Principal ideals in a plactic monoid always intersect

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年4月16日

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  • Daniel Turaev

摘要

We prove that two principal ideals in a plactic monoid always intersect. This means that the plactic monoids are both left and right reversible. This result holds for both finite rank plactic monoids and the infinite rank plactic monoid.