Diskretnaya Matematika
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


Diskr. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Diskretnaya Matematika, 1997, Volume 9, Issue 1, Pages 71–82
DOI: https://doi.org/10.4213/dm449 (Mi dm449) 		 
Minimal extensions with simple multiplication for an algebra of second-order matrices

V. B. Alekseev
Full-text PDF (983 kB)
DOI: https://doi.org/10.4213/dm449
Abstract: It is shown that the results of Strassen on existence of bilinear algorithm with seven multiplications for multiplication of matrices of order 2 has the following simple interpretation: there exists a 7-dimensional algebra with simple multiplication that is an extension of the algebra of matrices of order 2. It is proved that exactly three such 7-dimensional algebras exist.
This work was supported by the Russian Foundation for Basic Research, Grant 94-01-01206.
Received: 16.05.1994
Bibliographic databases:
UDC: 519.7
Language: Russian
Citation: V. B. Alekseev, “Minimal extensions with simple multiplication for an algebra of second-order matrices”, Diskr. Mat., 9:1 (1997), 71–82; Discrete Math. Appl., 7:1 (1997), 89–101
Citation in format AMSBIB
\Bibitem{Ale97}
\by V.~B.~Alekseev
\paper Minimal extensions with simple multiplication for an algebra of second-order matrices
\jour Diskr. Mat.
\yr 1997
\vol 9
\issue 1
\pages 71--82
\mathnet{http://mi.mathnet.ru/dm449}
\crossref{https://doi.org/10.4213/dm449}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1454180}
\zmath{https://zbmath.org/?q=an:0887.15011}
\transl
\jour Discrete Math. Appl.
\yr 1997
\vol 7
\issue 1
\pages 89--101
Linking options:
  • https://www.mathnet.ru/eng/dm449
  • https://doi.org/10.4213/dm449
  • https://www.mathnet.ru/eng/dm/v9/i1/p71
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретная математика
    Statistics & downloads:
    Abstract page:445
    Full-text PDF :214
    First page:4
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024