On the solvability of equations in semigroups with $x^r=x$

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F00%3A00002351" target="_blank" >RIV/00216224:14310/00:00002351 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
On the solvability of equations in semigroups with $x^r=x$
Original language description
The word problem for the free semigroups satisfying the identity $x^r=x$ was reduced to the word problem for the free groups satisfying the identity $x^{r-1}=1$ by Kaďourek and Polák in 1990. We use their result to solve the equations with constants inthe free semigroups in the varieties $Sr$. In fact, we transform the problem of solvability of a single equation in $Sr$ into the problem of solvability of disjunction of equations with constants in $Gr$. This is shown in detail for equations with t woand three constants.
Czech name
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Czech description
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Publication year
2000
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of 58th Workshop on General Algebra "58. Arbeitstagung Allgemeine Algebra"
ISBN
3-85366-951-4
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Number of pages
10
Pages from-to
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Publisher name
Verlag Johannes Heyn
Place of publication
Klagenfurt
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Event date
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UT code for WoS article
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