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, 2011, Volume 11, Issue 2, Pages 92–111 (Mi adm14)  
This article is cited in 12 scientific papers (total in 12 papers)

RESEARCH ARTICLE

Free rectangular dibands and free dimonoids

Anatolii V. Zhuchok

Department of Mechanics and Mathematics, Kyiv National Taras Shevchenko University, Volodymyrska str., 64, Kyiv, 01033, Ukraine
Full-text PDF (280 kB) Citations (12)
References:
PDF
HTML
Abstract: We construct a free rectangular diband and describe its structure. We also present the least rectangular diband congruence, the least $(rb,rz)$-congruence, the least left zero and right zero congruence, the least rectangular band congruence and the least left zero congruence on free dimonoids and use them to obtain decompositions of free dimonoids.
Keywords: rectangular dimonoid, free rectangular dimonoid, free dimonoid, diband of subdimonoids.
Received: 23.02.2011
Revised: 27.05.2011
Bibliographic databases:
Document Type: Article
MSC: 08B20, 20M10, 20M50, 17A30, 17A32
Language: English
Citation: Anatolii V. Zhuchok, “Free rectangular dibands and free dimonoids”, Algebra Discrete Math., 11:2 (2011), 92–111
Citation in format AMSBIB
\Bibitem{Zhu11}
\by Anatolii V. Zhuchok
\paper Free rectangular dibands and free dimonoids
\jour Algebra Discrete Math.
\yr 2011
\vol 11
\issue 2
\pages 92--111
\mathnet{http://mi.mathnet.ru/adm14}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2858132}
\zmath{https://zbmath.org/?q=an:06120606}
Linking options:
  • https://www.mathnet.ru/eng/adm14
  • https://www.mathnet.ru/eng/adm/v11/i2/p92
    • This publication is cited in the following 12 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:323
    Full-text PDF :120
    References:53
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024