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Presentations of factorizable inverse monoids

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posted on 2023-05-25, 23:47 authored by Easdown, D, East, J, FitzGerald, DG
It is well-known that an inverse monoid is factorizable if and only if it is a homomorphic image of a semidirect product of a semilattice (with identity) by a group. We use this structure to describe a presentation of an arbitrary factorizable inverse monoid in terms of presentations of its group of units and semilattice of idempotents, together with some other data. We apply this theory to quickly deduce a well known presentation of the symmetric inverse monoid on a nite set.

History

Publication title

Acta Universitatis Szegediensis, Acta Scientiarum Mathematicarum

Volume

71

Article number

3-4'

Number

3-4'

Pagination

509-520

Publication status

  • Published

Repository Status

  • Open

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