| Title:
|
Isotopic invariants of natural planar ternary rings (English) |
| Author:
|
Klucký, Dalibor |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
120 |
| Issue:
|
3 |
| Year:
|
1995 |
| Pages:
|
325-335 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| 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 |
| DOI:
|
10.21136/MB.1995.126004 |
| . |
| Date available:
|
2009-09-24T21:12:32Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126004 |
| . |
| 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, 10.1080/00029890.1967.12000094 |
| 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 |
| . |
