The equation \(x^i=y^jz^k\) in a free semigroup.

DOI10.1007/S00233-003-0028-6zbMath1052.20044OpenAlexW60948150MaRDI QIDQ1882661

Dirk Nowotka, Tero J.Harju

Publication date: 1 October 2004

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-003-0028-6

zbMATH Keywords

periodic solutionsfree semigroupsequationsprimitive words

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05)

Related Items (8)

Alternative proof of the Lyndon-Schützenberger theorem ⋮ Equations on partial words ⋮ On the equation \(x^k=z_1^{k_1}z_2^{k_2}\cdots z_n^{k_n}\) in a free semigroup ⋮ An extension of the Lyndon-Schützenberger result to pseudoperiodic words ⋮ The extended equation of Lyndon and Schützenberger ⋮ PROPERTIES OF PSEUDO-PRIMITIVE WORDS AND THEIR APPLICATIONS ⋮ An Extension of the Lyndon Schützenberger Result to Pseudoperiodic Words ⋮ INTRICACIES OF SIMPLE WORD EQUATIONS: AN EXAMPLE

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