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

[1] A. A. Stepanova, “Primitivno svyaznye i additivnye teorii poligonov”, Algebra i logika, 45:3 (2006), 300–313 | MR | Zbl

[2] A. A. Stepanova, “Poligony s primitivno normalnymi i additivnymi teoriyami”, Algebra i logika, 47:4 (2008), 491–508 | MR | Zbl

[3] V. Gould, A. V. Mikhalëv, E. A. Palyutin, A. A. Stepanova, “Teoretiko-modelnye svoistva svobodnykh, proektivnykh i ploskikh $S$-poligonov”, Fundament. prikl. matem., 14:7 (2008), 63–110 | MR

[4] B. Stenström, “Flatness and localization over monoids”, Math. Nachr., 48 (1971), 315–334 | DOI | MR | Zbl