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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 4, Pages 104–107 (Mi ivm7295)  
This article is cited in 2 scientific papers (total in 2 papers)

Brief communications

The automorphism group of the lattice of all subalgebras of the semiring of polynomials over the semifield of nonnegative real numbers

V. V. Sidorov

Chair of Higher Mathematics, Vyatka State University of Humanities, Kirov, Russia
Full-text PDF (132 kB) Citations (2)
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Abstract: In this paper we prove that the automorphism group of the lattice of all subalgebras of the semiring of polynomials over the semifield of nonnegative real numbers is isomorphic to the multiplicative group of all positive real numbers.
Keywords: semiring of polynomials, subalgebra, lattice of subalgebras.
Presented by the member of Editorial Board: M. M. Arslanov
Received: 29.10.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 4, Pages 87–89
DOI: https://doi.org/10.3103/S1066369X11040116
Bibliographic databases:
Document Type: Article
UDC: 512.556
Language: Russian
Citation: V. V. Sidorov, “The automorphism group of the lattice of all subalgebras of the semiring of polynomials over the semifield of nonnegative real numbers”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 4, 104–107; Russian Math. (Iz. VUZ), 55:4 (2011), 87–89
Citation in format AMSBIB
\Bibitem{Sid11}
\by V.~V.~Sidorov
\paper The automorphism group of the lattice of all subalgebras of the semiring of polynomials over the semifield of nonnegative real numbers
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 4
\pages 104--107
\mathnet{http://mi.mathnet.ru/ivm7295}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2919801}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 4
\pages 87--89
\crossref{https://doi.org/10.3103/S1066369X11040116}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79958728671}
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    • 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
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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