arXiv subjects

N. Abu-Ghazalh

Publications and source records attributed to N. Abu-Ghazalh.

2 recordsLinked to original sources

arXiv2014

A classification of disjoint unions of two or three copies of the free monogenic semigroup

We prove that, up to isomorphism and anti-isomorphism, there are only two semigroups which are the union of two copies of the free monogenic semigroup. Similarly, there are only nine semigroups which are the union of three copies of the free monogenic semigroup. We provide finite presentations for each of these semigroups.

math.RA↗

arXiv2013

On disjoint unions of finitely many copies of the free monogenic semigroup

Every semigroup which is a finite disjoint union of copies of the free monogenic semigroup (natural numbers under addition) is finitely presented and residually finite.

math.GR↗