Geodesic
A Theorem on Anti-ordered Factor-semigroups
Publications de l'Institut Mathématique, _N_S_82 (2007) no. 96, p. 119 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Let $K$ be an anti-ideal of a semigroup $(S,=,\neq,\cdot,\theta)$ with apartness. A construction of the anti-congruence $Q(K)$ and the quasi-antiorder $\theta$, generated by $K$, are presented. Besides, a construction of the anti-order relation $\Theta$ on syntactic semigroup $S/Q(K)$, generated by $\theta$, is given in Bishop's constructive mathematics.
DOI : 10.2298/PIM0796119C
Classification : 03F65 06F05, 20M99
Keywords: constructive mathematics, semigroup with apartness, anti-order, quasi-antiorder, anti-ordered semigroup 
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     author = {Sini\v{s}a Crvenkovi\'c and Daniel Romano},
     title = {A {Theorem} on {Anti-ordered} {Factor-semigroups}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {119 },
     publisher = {mathdoc},
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Siniša Crvenković; Daniel Romano. A Theorem on Anti-ordered Factor-semigroups. Publications de l'Institut Mathématique, _N_S_82 (2007) no. 96, p. 119 . doi : 10.2298/PIM0796119C. http://geodesic.mathdoc.fr/articles/10.2298/PIM0796119C/

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