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<p>We study the structure of a wreath power of a monogenic inverse monoid generated by a finite chain. The numbers of elements and idempotents are calculated. We also provide a description of ideals and Green’s relations. Finally, we show that there exists only one irreducible generating set of the wreath power.</p>

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Wreath powers of monogenic inverse monoids

  • 期刊论文

  • 发表日期：

    2025年5月21日

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  • Eugenia Kochubinska,
  • Andriy Oliynyk,
  • Georgiy Shevchenko

摘要

We study the structure of a wreath power of a monogenic inverse monoid generated by a finite chain. The numbers of elements and idempotents are calculated. We also provide a description of ideals and Green’s relations. Finally, we show that there exists only one irreducible generating set of the wreath power.