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Zbl pre05627362
Cain, Alan J.; Maltcev, Victor
Decision problems for finitely presented and one-relation semigroups and monoids.
(English)
[J] Int. J. Algebra Comput. 19, No. 6, 747-770 (2009). ISSN 0218-1967

Summary: For some distinguished properties of semigroups, such as having idempotents, regularity, hopficity, etc., we study the following: whether that property or its negation is a Markov property, whether it is decidable for finitely presented semigroups and for one-relation semigroups and monoids. All the results and open problems are summarized in a table.
MSC 2000:
*20M05 Free semigroups
20M10 General structure theory of semigroups

Keywords: decision problem; semigroup presentation; Markov property

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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.
Elementary number theory. Primes, congruences, and secrets.

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