Journal article

Wreath Powers Of Monogenic Inverse Monoids

Year:

2025

Published in:

Semigroup Forum
monogenic inverse monoid
Green’s relations
wreath power

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.

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