Title:
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A general coordinatization principle for projective planes with comparison of Hall and Hughes frames and with examples of generalized oval frames (English) |
Author:
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Havel, Václav |
Language:
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English |
Journal:
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Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
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1572-9141 (online) |
Volume:
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24 |
Issue:
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4 |
Year:
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1974 |
Pages:
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664-673 |
Summary lang:
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English |
. |
Category:
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math |
. |
MSC:
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50D35 |
idZBL:
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Zbl 0331.50013 |
idMR:
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MR0358558 |
DOI:
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10.21136/CMJ.1974.101281 |
. |
Date available:
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2008-06-09T14:09:54Z |
Last updated:
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2020-07-28 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/101281 |
. |
Reference:
|
[1] R. Artzy: Non-euclidean incidence planes.Israel J. M. 4 (1966), 43 - 53. Zbl 0144.19701, MR 0206786, 10.1007/BF02760069 |
Reference:
|
[2] A. Barlotti: Sulle $2$-curve nei piani grafici.Rend. Sem. Mat. Padova, 1967, 91-97. Zbl 0148.40901, MR 0212659 |
Reference:
|
[3] M. Hall: Projective planes.Trans. Amer. Math. Soc. 54 (1943), 229-277. Zbl 0060.32209, MR 0008892, 10.1090/S0002-9947-1943-0008892-4 |
Reference:
|
[4] M. Hall: The theory of groups.New York 1959. Zbl 0084.02202, MR 0103215 |
Reference:
|
[5] D. Hughes: Planar neo-rings.Trans. Amer. Math. Soc. 80 (1955), 502-527. MR 0073566, 10.1090/S0002-9947-1955-0073566-9 |
Reference:
|
[6] D. Hughes: On homomorphisms of projective planes.Proc. Symp. Appl. Math. 10 (1960), 45--52. Zbl 0096.15002, MR 0119146, 10.1090/psapm/010/0119146 |
Reference:
|
[7] D. R. Hughes F. C. Piper: Projective planes.New York-Heidelberg-Berlin 1973. MR 0333959 |
Reference:
|
[8] G. E. Martin: Parastrophic ternary rings.Journal Alg. 10 (1968), 37-46. MR 0230217, 10.1016/0021-8693(68)90103-8 |
Reference:
|
[9] G. E. Martin: Projective planes and isogeic ternary rings.Le Matematiche 23 (1968), 185 -196. Zbl 0188.24404, MR 0240716 |
Reference:
|
[10] L. A. Skornjakov: Natural fields of a Veblen-Wedderburn projective plane.(Russian). Izv. Ak. nauk SSSR 13 (1949), 447-472. MR 0031743 |
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