A classification of the projective lines over small rings

Chaos, Solitons and Fractals

Volumn 33, Issue 4, 2007, Pages 1095-1102

  Saniga, Metod ^a,b,c   Planat, Michel ^b   Kibler, Maurice R ^c   Pracna, Petr ^b,c,d  

^a ASTRONOMICAL INSTITUTE   (Slovakia)

^b CNRS   (France)

^c UNIVERSITÉ LYON 1   (France)

^d J HEYROVSKÝ INSTITUTE OF PHYSICAL CHEMISTRY   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; NATURAL SCIENCES;

COMPACT CLASSIFICATION; JACOBSON POINTS; PROJECTIVE LINES; SMALL RINGS;

COMPUTATIONAL GEOMETRY;

EID: 33947097398     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2007.01.008     Document Type: Article

References (21)

1. Blunck A., and Havlicek H. Projective representations I: projective lines over a ring. Abh Math Sem Univ Hamburg 70 (2000) 287-299
2. Blunck A., and Havlicek H. Radical parallelism on projective lines and non-linear models of affine spaces. Math Pannon 14 (2003) 113-127
3. Blunck A., and Havlicek H. On distant-isomorphisms of projective lines. Aequat Math 69 (2005) 146-163
4. Havlicek H. Divisible designs, Laguerre geometry, and beyond. Quaderni del Seminario Matematico di Brescia 2006;11:1-63. A preprint available from: .
5. 3 - x 〉 and quantum entanglement I. Theoretical background. Theor Math Phys, in press. .
6. 3 - x 〉 and quantum entanglement II. The Mermin "Magic" Square/Pentagram. Theor Math Phys, in press. .
7. Saniga M, Planat, M. On the fine structure of the projective line over GF (2) ⊗ GF (2) ⊗ GF (2). Chaos, Solitons & Fractals, in press. doi:10.1016/j.chaos.2006.09.056.
8. Veldkamp F.D. Geometry over rings. In: Buekenhout F. (Ed). Handbook of incidence geometry (1995), Elsevier, Amsterdam 1033-1084
9. Herzer A. Chain geometries. In: Buekenhout F. (Ed). Handbook of Incidence Geometry (1995), Elsevier, Amsterdam 781-842
10. Fraleigh J.B. A first course in abstract algebra. 5th ed. (1994), Addison-Wesley, Reading (MA) p. 273-362
11. McDonald B.R. Finite rings with identity (1974), Marcel Dekker, New York
12. Raghavendran R. Finite associative rings. Comp Math 21 (1969) 195-229
13. Nöbauer C. The book of the rings - part I. 2000. .
14. Nöbauer C. The book of the rings - part II. 2000. .
15. Saniga M, Planat M, Pracna P. A classification of the projective lines over small rings II. Non-commutative case. Available from: .
16. Planat M, Saniga M, Kibler MR. Quantum entanglement and finite ring geometry. SIGMA 2006;2:Paper 066. Available from: quant-ph/0605239.
17. El Naschie M.S. E-infinity theory - some recent results and new interpretations. Chaos, Solitons & Fractals 29 (2006) 845-853
18. El Naschie M.S. Advanced prerequisite for E-infinity theory. Chaos, Solitons & Fractals 30 (2006) 636-641
19. Marek-Crnjac L. E-infinity Cantorian spacetime from subfactors and knot theory. Chaos, Solitons & Fractals 32 (2007) 916-919
20. Saniga M. Lines on Del Pezzo surfaces and transfinite heterotic string space-time. Chaos, Solitons & Fractals 13 (2002) 1371-1373 Available from: physics/0101041
21. Saniga M. Arithmetic of plane Cremona transformations and the dimensions of transfinite heterotic string space-time. Chaos, Solitons & Fractals 13 (2002) 1537-1540 Available from: physics/0105049