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Fundamentalnaya i Prikladnaya Matematika, 2006, Volume 12, Issue 2, Pages 201–208 (Mi fpm944)  
This article is cited in 3 scientific papers (total in 3 papers)

The atomic theory of division of semiring ideals

A. E. Pentus, M. R. Pentus

M. V. Lomonosov Moscow State University
Full-text PDF (98 kB) Citations (3)
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Abstract: We consider two-sided ideals of semirings. More precisely, we study the theory of two-sided ideals in the signature consisting of the predicate symbol $\subseteq$ and two function symbols that denote the right and left division of ideals. We prove that the set of those atomic formulas in this signature that are valid for all semirings and all valuations is decidable.
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 149, Issue 2, Pages 1176–1181
DOI: https://doi.org/10.1007/s10958-008-0056-6
Bibliographic databases:
UDC: 512+510.64
Language: Russian
Citation: A. E. Pentus, M. R. Pentus, “The atomic theory of division of semiring ideals”, Fundam. Prikl. Mat., 12:2 (2006), 201–208; J. Math. Sci., 149:2 (2008), 1176–1181
Citation in format AMSBIB
\Bibitem{PenPen06}
\by A.~E.~Pentus, M.~R.~Pentus
\paper The atomic theory of division of semiring ideals
\jour Fundam. Prikl. Mat.
\yr 2006
\vol 12
\issue 2
\pages 201--208
\mathnet{http://mi.mathnet.ru/fpm944}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2249702}
\zmath{https://zbmath.org/?q=an:1154.03006}
\transl
\jour J. Math. Sci.
\yr 2008
\vol 149
\issue 2
\pages 1176--1181
\crossref{https://doi.org/10.1007/s10958-008-0056-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-38549178853}
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  • https://www.mathnet.ru/eng/fpm/v12/i2/p201
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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