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Algebra and Discrete Mathematics, 2015, Volume 20, Issue 1, Pages 126–141 (Mi adm535)  
This article is cited in 1 scientific paper (total in 1 paper)

RESEARCH ARTICLE

Lattice groups

L. A. Kurdachenkoa, V. S. Yashchuka, I. Ya. Subbotinb

a Department of Algebra, Oles Honchar Dnipropetrovsk National University
b Department of Mathematics and Natural Sciences, National University
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Abstract: In this paper, we introduce some algebraic structure associated with groups and lattices. This structure is a semigroup and it appeared as the result of our new approach to the fuzzy groups and $L$-fuzzy groups where $L$ is a lattice. This approach allows us to employ more convenient language of algebraic structures instead of currently accepted language of functions.
Keywords: group, lattice, distributive lattice, fuzzy group, semigroup.
Received: 02.04.2015
Revised: 02.04.2015
Bibliographic databases:
Document Type: Article
MSC: 20M10, 06D99, 20M99
Language: English
Citation: L. A. Kurdachenko, V. S. Yashchuk, I. Ya. Subbotin, “Lattice groups”, Algebra Discrete Math., 20:1 (2015), 126–141
Citation in format AMSBIB
\Bibitem{KurYasSub15}
\by L.~A.~Kurdachenko, V.~S.~Yashchuk, I.~Ya.~Subbotin
\paper Lattice groups
\jour Algebra Discrete Math.
\yr 2015
\vol 20
\issue 1
\pages 126--141
\mathnet{http://mi.mathnet.ru/adm535}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3431955}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000378728700010}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Algebra and Discrete Mathematics
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