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Title: Isotopic invariants of natural planar ternary rings (English)
Author: Klucký, Dalibor
Language: English
Journal: Mathematica Bohemica
ISSN: 0862-7959
Volume: 120
Issue: 3
Year: 1995
Pages: 325-335
Summary lang: English
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Category: math
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Summary: In the paper the invariant (geometrical) character of some properties of natural planar ternary rings is shown by using isotopic transformations. (English)
Keyword: planar ternary rings
Keyword: isotopic transformations
Keyword: natural planar ternary ring
Keyword: isotopy of planar ternary rings
MSC: 20N10
MSC: 51A25
idZBL: Zbl 0847.20064
idMR: MR1369691
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Date available: 2009-09-24T21:12:32Z
Last updated: 2015-09-04
Stable URL: http://hdl.handle.net/10338.dmlcz/126004
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Reference: [1] M. Hall: The Theory of Groups.Macmillan, New York, 1950. MR 0103215
Reference: [2] G. E. Martin: Projective planes and isotopic ternary rings.Amer. Math. Monthly 74, (1967), 1185-1195. Zbl 0164.51401, MR 0223972, 10.2307/2315659
Reference: [3] G. E. Martin: Projective planes and isogeic planar ternary rings.Estrattoda "Le Matematiche" XXIII (1968), 185-196. MR 0240716
Reference: [4] L. A. Skornjakov: Naturalnyje těla Veblen-Veděrburnovoj ploskosti.Izv. akad. nauk SSSR, seria matem. 13 (1949), 447-472. MR 0031743
Reference: [5] D. Klucký L. Marková: Ternary rings with zero associated to translation planes.Czech. Math. Journal 23 (98) (1973), 617-628. MR 0331209
Reference: [6] D. Klucký: Ternary rings with zero associated to Desarguessian and Pappian planes.Czech. Math. Journal 24(99) (1974), 507-613. MR 0358537
Reference: [7] D. Klucký: One application of isotopies of planar ternary rings.Geometriae Dedicata 3 (1975), 487-492. MR 0365349, 10.1007/BF00181380
Reference: [8] D. Klucký: Natural planar ternary rings.Acta Univ. Pal. Olomucensis, Fac. rer. nat., Mathematica 20 (1981), 47-57. MR 0645887
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