On strong regularity of relations

Josef Šlapal

Mathematica Bohemica (1994)

  • Volume: 119, Issue: 2, page 151-155
  • ISSN: 0862-7959

Abstract

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There exists a natural extension of the notion of preorder from binary relations onto relations whose arities are arbitrary ordinals. In the article we find a condition under which extended preorders coincide with preorders if viewed categorically.

How to cite

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Šlapal, Josef. "On strong regularity of relations." Mathematica Bohemica 119.2 (1994): 151-155. <http://eudml.org/doc/29230>.

@article{Šlapal1994,
abstract = {There exists a natural extension of the notion of preorder from binary relations onto relations whose arities are arbitrary ordinals. In the article we find a condition under which extended preorders coincide with preorders if viewed categorically.},
author = {Šlapal, Josef},
journal = {Mathematica Bohemica},
keywords = {relations of type $\alpha $; reflexivity; diagonality; strong regularity; homomorphism; extended preorders; relations of type ; reflexivity; diagonality; strong regularity; homomorphism; extended preorders},
language = {eng},
number = {2},
pages = {151-155},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On strong regularity of relations},
url = {http://eudml.org/doc/29230},
volume = {119},
year = {1994},
}

TY - JOUR
AU - Šlapal, Josef
TI - On strong regularity of relations
JO - Mathematica Bohemica
PY - 1994
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 119
IS - 2
SP - 151
EP - 155
AB - There exists a natural extension of the notion of preorder from binary relations onto relations whose arities are arbitrary ordinals. In the article we find a condition under which extended preorders coincide with preorders if viewed categorically.
LA - eng
KW - relations of type $\alpha $; reflexivity; diagonality; strong regularity; homomorphism; extended preorders; relations of type ; reflexivity; diagonality; strong regularity; homomorphism; extended preorders
UR - http://eudml.org/doc/29230
ER -

References

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  1. Y. Bar-Hillel A.A. Fraenkel A. Levy, Foundations of Set Theory, North Holland, Amsterdam, 1973. (1973) MR0345816
  2. E. Čech, Topological papers of Eduard Čech, Ch. 8, Academia, Prague, 1968, pp. 436-472. (1968) MR0248705
  3. H. Herrlich, Cartesian closed topological categories, Math. Coll. Univ. Cape Town 9 (1974), 1-16. (1974) Zbl0318.18011MR0460414
  4. S. Mac Lane, Categories for the Working Mathematician, Springer-Verlag, Heidelberg-New York, 1971. (1971) Zbl0232.18001MR0354798
  5. V. Novák, On a power of relational structures, Czech. Math. J. 35 (1985), 167-172. (1985) MR0779345
  6. J. Šlapal, 10.1002/malq.19880340608, Zeitschr. f. math. Logik und Grundl. d. Math. 34 (1988), 563-573. (1988) MR0973399DOI10.1002/malq.19880340608
  7. J. Šlapal, 10.1007/BF01237574, Arch. Math. (Basel) 52 (1989), 603-606. (1989) MR1007636DOI10.1007/BF01237574
  8. J. Šlapal, Relations and topologies, Czech. Math. J. 43 (1993), 141-150. (1993) MR1205237

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