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Algebra i logika, 2014, Volume 53, Number 5, Pages 614–624 (Mi al653)  

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
Full-text PDF (167 kB) Citations (2)
References:
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
English version:
Algebra and Logic, 2014, Volume 53, Issue 5, Pages 397–404
DOI: https://doi.org/10.1007/s10469-014-9299-0
Bibliographic databases:
Document Type: Article
UDC: 510.67+512.56
Language: Russian
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
Citation in format AMSBIB
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\by D.~O.~Ptakhov
\paper Primitive normality and additivity of free projective and strongly flat polygons
\jour Algebra Logika
\yr 2014
\vol 53
\issue 5
\pages 614--624
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\jour Algebra and Logic
\yr 2014
\vol 53
\issue 5
\pages 397--404
\crossref{https://doi.org/10.1007/s10469-014-9299-0}
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  • https://www.mathnet.ru/eng/al653
  • https://www.mathnet.ru/eng/al/v53/i5/p614
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и логика Algebra and Logic
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    Abstract page:180
    Full-text PDF :58
    References:47
    First page:4
     
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