The orthogonality in affine parallel structure

Jaroslav Lettrich

Mathematica Slovaca (1993)

  • Volume: 43, Issue: 1, page 45-68
  • ISSN: 0139-9918

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Lettrich, Jaroslav. "The orthogonality in affine parallel structure." Mathematica Slovaca 43.1 (1993): 45-68. <http://eudml.org/doc/31728>.

@article{Lettrich1993,
author = {Lettrich, Jaroslav},
journal = {Mathematica Slovaca},
keywords = {parallel structures over quasifields; orthogonality},
language = {eng},
number = {1},
pages = {45-68},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {The orthogonality in affine parallel structure},
url = {http://eudml.org/doc/31728},
volume = {43},
year = {1993},
}

TY - JOUR
AU - Lettrich, Jaroslav
TI - The orthogonality in affine parallel structure
JO - Mathematica Slovaca
PY - 1993
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 43
IS - 1
SP - 45
EP - 68
LA - eng
KW - parallel structures over quasifields; orthogonality
UR - http://eudml.org/doc/31728
ER -

References

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  1. ANDRE J., Über Parallelstructuren. Teil I: Grundbegriffe, Math. Z. 76 (1961), 85-102. (1961) MR0138025
  2. ANDRE J., Über Parallelstructuren. Teil II: Translationsstrukturen, Math. Z. 76 (1961), 155-163. (1961) MR0138026
  3. DAVIS E. H., Incidences systems associated with non-planar nearfields, Canad. J. Math. XXII (1970), 939-952. (1970) MR0301619
  4. HAVEL V., STUDNIČKA I., Ternärringe ohne Planaritätsbedin gung, Časopis Pěst. Mat. 104 (1979), 65-74. (1979) MR0523573
  5. LETTRICH J., OKTAVCOVÁ J., Reidemeister condition in the translate structure over a non-planar quasifield, (Slovak), Práce a štúdie VŠDS v Žiline, séгia mat.-fyz. 8 (1990), 55-63. (1990) MR1292420
  6. NAUMANN H.-REIDEMEISTER K., Über Schliessungssätze der Rechtwinkelgeometrie, Abh. Math. Sem. Univ. Hamburg 21 (1957), 1-12. (1957) Zbl0077.13901MR0088743
  7. SCHÜTTE K., Schliessungssätze für ortogonale Abbildungen euklidischer Ebenen, Math. Ann. 132 (1956), 106-120. (1956) MR0083738

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