Automatic Rees matrix semigroups over categories

Mathematics – Rings and Algebras

Scientific paper

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27 pages

Scientific paper

We consider the preservation of the properties of automaticity and
prefix-automaticity in Rees matrix semigroups over semigroupoids and small
categories. Some of our results are new or improve upon existing results in the
single-object case of Rees matrix semigroups over semigroups.

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