Loading [MathJax]/jax/output/CommonHTML/jax.js
Proceedings of the Yerevan State University, series Physical and Mathematical Sciences
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Proceedings of the YSU, Physical and Mathematical Sciences:
Year:
Volume:
Issue:
Page:
Find




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

Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2022, Volume 56, Issue 3, Pages 107–115
DOI: https://doi.org/10.46991/PYSU:A/2022.56.3.107 (Mi uzeru981) 		 
Mathematics

On regular paramedial division algebras

D. N. Harutyunyan

Yerevan State University, Faculty of Mathematics and Mechanics
Full-text PDF (233 kB)
References:
PDF
HTML
DOI: https://doi.org/10.46991/PYSU:A/2022.56.3.107
Abstract: In this paper n-ary regular division algebras are discussed, which are satisfying the hyperidentity of paramediality. It is shown that every operation in n-ary regular paramedial division algebra will be linearly represented over the same Abelian group. Similar results already obtained for regular medial division algebras in [1].
Keywords: hyperidentities, regular division groupoids, paramedial groupoids, n-ary groupoids, quasiendomorphisms.
Received: 29.07.2022
Revised: 05.09.2022
Accepted: 26.09.2022
Document Type: Article
MSC: Primary 03C05; Secondary 03C85, 20N05
Language: English
Citation: D. N. Harutyunyan, “On regular paramedial division algebras”, Proceedings of the YSU, Physical and Mathematical Sciences, 56:3 (2022), 107–115
Citation in format AMSBIB
\Bibitem{Har22}
\by D.~N.~Harutyunyan
\paper On regular paramedial division algebras
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2022
\vol 56
\issue 3
\pages 107--115
\mathnet{http://mi.mathnet.ru/uzeru981}
\crossref{https://doi.org/10.46991/PYSU:A/2022.56.3.107}
Linking options:
  • https://www.mathnet.ru/eng/uzeru981
  • https://www.mathnet.ru/eng/uzeru/v56/i3/p107
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Proceedings of the Yerevan State University, series Physical and Mathematical Sciences
    Statistics & downloads:
    Abstract page:78
    Full-text PDF :26
    References:28
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025