Mathematica Pannonica
Volume/Issue:
Accepted Manuscript / Online First
Similarity for 2 × 2 matrices obtained by clockwise “rotation”
Author:
Grigore Călugăreanu Department of Mathematics, Babeş-Bolyai University, Cluj-Napoca, Romania

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Online Publication Date:
21 Sep 2023
Publication Date:
21 Sep 2023
Article Category:
Research Article
DOI:
https://doi.org/10.1556/314.2023.00019
Keywords (English):
Rotable matrix; integral domain; quadratic Diophantine equation; 2 × 2 matrix
Open access

Over integral domains of characteristics different from 2, we determine all the matrices abcd which are similar to cadb.

  • [1]

    Atiyah, M. F. and Macdonald, I. G. Introduction to Commutative Algebra. Addison-Wesley, Reading, Massachusetts, 1969.

  • [2]

    Brown, W. C. Matrices over commutative rings. Marcel Dekker Inc., New-York, Basel, Hong Kong 1993.

  • [3]

    Jacobson, N. Basic Algebra I. Second edition, W. H. Freeman, New York, 1985.

  • [4]

    Taussky, O. and Zassenhaus, H. On the similarity transformation between a matrix and its transpose. Pacific J. Math. 9 (1959), 893–896.

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Mathematica Pannonica
Print ISSN:
0865-2090
Online ISSN:
2786-0752
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Editor in Chief: László TÓTH (University of Pécs)

Honorary Editors in Chief:

  • † István GYŐRI (University of Pannonia, Veszprém)
  • János PINTZ (Rényi Institute of Mathematics)
  • Ferenc SCHIPP (Eötvös University Budapest and University of Pécs)
  • Sándor SZABÓ (University of Pécs)
     

Deputy Editors in Chief:

  • Erhard AICHINGER (JKU Linz)
  • Ferenc HARTUNG (University of Pannonia, Veszprém)
  • Ferenc WEISZ (Eötvös University, Budapest)

Editorial Board

  • Attila BÉRCZES (University of Debrecen)
  • István BERKES (Rényi Institute of Mathematics)
  • Károly BEZDEK (University of Calgary)
  • György DÓSA (University of Pannonia, Veszprém)
  • Balázs KIRÁLY – Managing Editor (University of Pécs)
  • Vedran KRCADINAC (University of Zagreb) 
  • Željka MILIN ŠIPUŠ (University of Zagreb)
  • Gábor NYUL (University of Debrecen)
  • Margit PAP (University of Pécs)
  • István PINK (University of Debrecen)
  • Mihály PITUK (University of Pannonia, Veszprém)
  • Jörg THUSWALDNER (Montanuniversität Leoben)
  • Zsolt TUZA (University of Pannonia, Veszprém)

Advisory Board

  • Szilárd RÉVÉSZ (Rényi Institute of Mathematics)  - Chair
  • Gabriella BÖHM
  • György GÁT (University of Debrecen)

University of Pécs,
Faculty of Sciences,
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Department of Mathematics
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ltoth@gamma.ttk.pte.hu

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Mathematica Pannonica
Language English
Size A4
Year of
Foundation		 1990
Volumes
per Year		 1
Issues
per Year		 2
Founder Akadémiai Kiadó
Founder's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
Publisher Akadémiai Kiadó
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 2786-0752 (Online)
ISSN 0865-2090 (Print)

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