Principal ideals in a plactic monoid always intersect

Abstract 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.

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Publication Details

Journal
Semigroup Forum
Published
2025-04-16
DOI
https://doi.org/10.1007/s00233-025-10522-5
Primary Topic
Rings, Modules, and Algebras
Type
article
Field-Weighted Citation Impact
0.00

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article

Principal ideals in a plactic monoid always intersect

Daniel Turaev
Semigroup Forum
Rings, Modules, and Algebras
article

Principal ideals in a plactic monoid always intersect

Daniel Turaev
article en

Abstract

Abstract 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.

Semigroup ForumVol. 110(3)
Technische Universität Berlin (DE)
Technische Universität Berlin
Openalex Percentile: Top 88%
Rings, Modules, and Algebras
DOIOpen Access PDFOpenAlex
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Principal ideals in a plactic monoid always intersect — Daniel Turaev · Semigroup Forum (2025) | TGRS Research Map | TGRS