Další formáty:
BibTeX
LaTeX
RIS
@inproceedings{332831,
author = {Klíma, Ondřej},
address = {Klagenfurt},
booktitle = {Proceedings of 58th Workshop on General Algebra "58. Arbeitstagung Allgemeine Algebra"},
language = {eng},
location = {Klagenfurt},
isbn = {3-85366-951-4},
pages = {237-246},
publisher = {Verlag Johannes Heyn},
title = {On the solvability of equations in semigroups with $x^r=x$},
year = {2000}
}
TY - JOUR
ID - 332831
AU - Klíma, Ondřej
PY - 2000
TI - On the solvability of equations in semigroups with $x^r=x$
VL - Contributions to General Algebra 12
PB - Verlag Johannes Heyn
CY - Klagenfurt
SN - 3853669514
N2 - 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 in the 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 two and three constants.
ER -
KLÍMA, Ondřej. On the solvability of equations in semigroups with \${}x\^{}r=x\${}. In \textit{Proceedings of 58th Workshop on General Algebra ''58. Arbeitstagung Allgemeine Algebra''}. Klagenfurt: Verlag Johannes Heyn, 2000, s.~237-246. Contributions to General Algebra 12. ISBN~3-85366-951-4.
|
