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This article is cited in 2 scientific papers (total in 2 papers)
Primitive normality and additivity of free projective and strongly flat polygons
D. O. Ptakhov Far Eastern State University, ul. Sukhanova 8, Vladivostok, 690000, Russia
Abstract:
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, polygon.
Received: 26.12.2012 Revised: 05.08.2014
Citation:
D. O. Ptakhov, “Primitive normality and additivity of free projective and strongly flat polygons”, Algebra Logika, 53:5 (2014), 614–624; Algebra and Logic, 53:5 (2014), 397–404
Linking options:
https://www.mathnet.ru/eng/al653 https://www.mathnet.ru/eng/al/v53/i5/p614
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Abstract page: | 180 | Full-text PDF : | 58 | References: | 47 | First page: | 4 |
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