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Title: A general coordinatization principle for projective planes with comparison of Hall and Hughes frames and with examples of generalized oval frames (English)
Author: Havel, Václav
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 24
Issue: 4
Year: 1974
Pages: 664-673
Summary lang: English
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Category: math
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MSC: 50D35
idZBL: Zbl 0331.50013
idMR: MR0358558
DOI: 10.21136/CMJ.1974.101281
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Date available: 2008-06-09T14:09:54Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101281
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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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