Geodesic
Primitive normality and additivity of free projective and strongly flat polygons
Algebra i logika, Tome 53 (2014) no. 5, pp. 614-624

Voir la notice de l'article provenant de la source Math-Net.Ru

We study into monoids $S$ over which the axiomatizable class of all free, projective, or strongly flat $S$-polygons is primitive normal or additive. It is proved that an axiomatizable class of all free, projective, or strongly flat $S$-polygons is primitive normal iff a monoid$S$ primitive normal. Also it is shown that an axiomatizable class of all free, projective, or strongly flat $S$-polygons is not additive for any monoid $S$.
Keywords: primitive normal theory, additive theory
Mots-clés : polygon. 
@article{AL_2014_53_5_a3,
     author = {D. O. Ptakhov},
     title = {Primitive normality and additivity of free projective and strongly flat polygons},
     journal = {Algebra i logika},
     pages = {614--624},
     publisher = {mathdoc},
     volume = {53},
     number = {5},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2014_53_5_a3/}
}
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D. O. Ptakhov. Primitive normality and additivity of free projective and strongly flat polygons. Algebra i logika, Tome 53 (2014) no. 5, pp. 614-624. http://geodesic.mathdoc.fr/item/AL_2014_53_5_a3/