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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2012, Volume 12, Issue 1, Pages 3–7
DOI: https://doi.org/10.18500/1816-9791-2012-12-1-3-7 (Mi isu273) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

Acts and partial acts over semilattices

T. V. Apraksina, M. Yu. Maksimovskiy

Moscow Institute of Electronic Technology, Chair of Higher Mathematics 1
Full-text PDF (240 kB) Citations (2)
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DOI: https://doi.org/10.18500/1816-9791-2012-12-1-3-7
Abstract: We consider the acts and the partial acts over semilattices. We obtain a necessary and sufficient condition to be a partially ordered set X an act over a semilattice. The properties of partial acts are investigated and a sufficient condition is found for the expansion of partial act X over a semilattice S to a full S-act.
Key words: act, partially act, semilattice.
Bibliographic databases:
Document Type: Article
UDC: 512.579
Language: Russian
Citation: T. V. Apraksina, M. Yu. Maksimovskiy, “Acts and partial acts over semilattices”, Izv. Saratov Univ. Math. Mech. Inform., 12:1 (2012), 3–7
Citation in format AMSBIB
\Bibitem{AprMak12}
\by T.~V.~Apraksina, M.~Yu.~Maksimovskiy
\paper Acts and partial acts over semilattices
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2012
\vol 12
\issue 1
\pages 3--7
\mathnet{http://mi.mathnet.ru/isu273}
\crossref{https://doi.org/10.18500/1816-9791-2012-12-1-3-7}
\elib{https://elibrary.ru/item.asp?id=17574787}
Linking options:
  • https://www.mathnet.ru/eng/isu273
  • https://www.mathnet.ru/eng/isu/v12/i1/p3
    • This publication is cited in the following 2 articles:
    1. A. V. Reshetnikov, “Umerenno chastichnye algebry, u kotorykh vse otnosheniya ekvivalentnosti yavlyayutsya kongruentsiyami”, Chebyshevskii sb., 22:1 (2021), 292–303  mathnet  crossref
    2. I. B. Kozhukhov, A. V. Mikhalev, “Acts over semigroups”, J. Math. Sci., 269:3 (2023), 362–401  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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    Full-text PDF :134
    References:43
    First page:1
     
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