Automatic semigroup

id: automatic-semigroup-196-18067084
title: Automatic semigroup
text: In mathematics, an automatic semigroup is a finitely generated semigroup equipped with several regular languages over an alphabet representing a generating set. One of these languages determines "canonical forms" for the elements of the semigroup, the other languages determine if two canonical forms represent elements that differ by multiplication by a generator. Formally, let S be a semigroup and A be a finite set of generators. Then an automatic structure for S with respect to A consists of a
brand slug: wiki
category slug: encyclopedia
description: Mathematical structure
original url: https://en.wikipedia.org/wiki/Automatic_semigroup
date created:
date modified: 2024-01-18T21:27:19Z
main entity: {"identifier":"Q4826597","url":"https://www.wikidata.org/entity/Q4826597"}
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fields total: 13
integrity: 14

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