Knuth-Bendix algorithm and the conjugacy problems in monoids

Mathematics – Group Theory

Scientific paper

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This is a new version of the paper 'The conjugacy problems in monoids and semigroups'. This version will appear in the journal

Scientific paper

10.1007/s00233-010-9288-0

We present an algorithmic approach to the conjugacy problems in monoids,
using rewriting systems. We extend the classical theory of rewriting developed
by Knuth and Bendix to a rewriting that takes into account the cyclic
conjugates.

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