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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 1, Pages 87–91 (Mi ivm8424)  
This article is cited in 4 scientific papers (total in 4 papers)

Brief communications

The determinability of compacts by lattices of ideals and congruencies of semirings of continuous $[0,1]$-valued functions on them

E. M. Vechtomov, E. N. Lubyagina

Chair of Algebra and Discrete Mathematics, Vyatka State University of Humanities, Kirov, Russia
Full-text PDF (160 kB) Citations (4)
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Abstract: We consider an idempotent semiring of continuous $[0,1]$-valued functions defined on a compact $X$ with the usual multiplication and addition $\max$. We prove the determinability of $X$ by the lattice of ideals and the lattice of congruencies of the indicated semiring.
Keywords: semiring, unit interval, compact, semiring of continuous functions, lattice of ideals, lattice of congruencies.
Presented by the member of Editorial Board: M. M. Arslanov
Received: 13.05.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 1, Pages 79–82
DOI: https://doi.org/10.3103/S1066369X12010124
Bibliographic databases:
Document Type: Article
UDC: 512.556
Language: Russian
Citation: E. M. Vechtomov, E. N. Lubyagina, “The determinability of compacts by lattices of ideals and congruencies of semirings of continuous $[0,1]$-valued functions on them”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 1, 87–91; Russian Math. (Iz. VUZ), 56:1 (2012), 79–82
Citation in format AMSBIB
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\paper The determinability of compacts by lattices of ideals and congruencies of semirings of continuous $[0,1]$-valued functions on them
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
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\pages 87--91
\mathnet{http://mi.mathnet.ru/ivm8424}
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\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 1
\pages 79--82
\crossref{https://doi.org/10.3103/S1066369X12010124}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862661852}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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