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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2016, Volume 13, Pages 744–753
DOI: https://doi.org/10.17377/semi.2016.13.060 (Mi semr710) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Mathematical logic, algebra and number theory

On the partition lattice of all integers

V. A. Baranskiia, T. A. Korolevab, T. A. Senchonoka

a Ural Federal University, pr. Lenina, 51, 620083, Ekaterinburg, Russia
b Yugorskiy State University
Full-text PDF (543 kB) Citations (7)
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DOI: https://doi.org/10.17377/semi.2016.13.060
Abstract: The partition lattice of all integers introduced. The aim is to give a detailed construction of this lattice across all partition lattices of concrete integers and to give algorithms for finding the intersection and the union of elements in this lattice.
Keywords: integer partition, lattice, Ferrer’s diagram.
Received July 20, 2016, published September 28, 2016
Bibliographic databases:
Document Type: Article
UDC: 519.116
MSC: 05A17
Language: Russian
Citation: V. A. Baranskii, T. A. Koroleva, T. A. Senchonok, “On the partition lattice of all integers”, Sib. Èlektron. Mat. Izv., 13 (2016), 744–753
Citation in format AMSBIB
\Bibitem{BarKorSen16}
\by V.~A.~Baranskii, T.~A.~Koroleva, T.~A.~Senchonok
\paper On the partition lattice of all integers
\jour Sib. \`Elektron. Mat. Izv.
\yr 2016
\vol 13
\pages 744--753
\mathnet{http://mi.mathnet.ru/semr710}
\crossref{https://doi.org/10.17377/semi.2016.13.060}
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