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On identity transformations in commutative semigroups. (English) Zbl 1168.20313

Discrete Math. Appl. 17, No. 6, 629-640 (2007); translation from Diskretn. Mat. 19, No. 4, 139-149 (2007).
Summary: It is proved that in any commutative semigroup the complexity of transformations of equal terms of length at most \(n\) into each other is of order \(n\log n\).

MSC:

20M14 Commutative semigroups
20M05 Free semigroups, generators and relations, word problems
Full Text: DOI

References:

[1] Perkins P., J. Algebra 11 pp 298– (1969) · Zbl 0186.03401 · doi:10.1016/0021-8693(69)90058-1
[2] Lyndon R. C., Trans. Amer. Math. Soc. 71 pp 457– (1951)
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