Algebra and Discrete Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Algebra Discrete Math.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (355 kB) Citations (1)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/adm535
  • https://www.mathnet.ru/eng/adm/v20/i1/p126
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Algebra and Discrete Mathematics
    Statistics & downloads:
    Abstract page:239
    Full-text PDF :69
    References:57
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024