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Fundamentalnaya i Prikladnaya Matematika, 2012, Volume 17, Issue 1, Pages 33–52 (Mi fpm1388)  
This article is cited in 3 scientific papers (total in 3 papers)

Cyclic semirings with idempotent noncommutative addition

E. M. Vechtomova, I. V. Lubyaginab

a Vyatka State University of Humanities
b Vyatka State University
Full-text PDF (186 kB) Citations (3)
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Abstract: The article discusses the structure of cyclic semirings with noncommutative addition. In the infinite case, the addition is idempotent and is either left or right. Addition of a finite cyclic semirings can be either idempotent or nonidempotent. In the finite additively idempotent cyclic semiring, addition is reduced to the addition of cyclic subsemiring with commutative addition and absorbing element for multiplication and the addition of a cycle that is a finite semifield.
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 185, Issue 3, Pages 367–380
DOI: https://doi.org/10.1007/s10958-012-0921-1
Bibliographic databases:
Document Type: Article
UDC: 512.55
Language: Russian
Citation: E. M. Vechtomov, I. V. Lubyagina, “Cyclic semirings with idempotent noncommutative addition”, Fundam. Prikl. Mat., 17:1 (2012), 33–52; J. Math. Sci., 185:3 (2012), 367–380
Citation in format AMSBIB
\Bibitem{VecLub12}
\by E.~M.~Vechtomov, I.~V.~Lubyagina
\paper Cyclic semirings with idempotent noncommutative addition
\jour Fundam. Prikl. Mat.
\yr 2012
\vol 17
\issue 1
\pages 33--52
\mathnet{http://mi.mathnet.ru/fpm1388}
\transl
\jour J. Math. Sci.
\yr 2012
\vol 185
\issue 3
\pages 367--380
\crossref{https://doi.org/10.1007/s10958-012-0921-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866313916}
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  • https://www.mathnet.ru/eng/fpm/v17/i1/p33
    • 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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    References:67
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