On strong regularity of relations
Mathematica Bohemica (1994)
- Volume: 119, Issue: 2, page 151-155
- ISSN: 0862-7959
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topŠlapal, 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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- V. Novák, On a power of relational structures, Czech. Math. J. 35 (1985), 167-172. (1985) MR0779345
- J. Šlapal, 10.1002/malq.19880340608, Zeitschr. f. math. Logik und Grundl. d. Math. 34 (1988), 563-573. (1988) MR0973399DOI10.1002/malq.19880340608
- J. Šlapal, 10.1007/BF01237574, Arch. Math. (Basel) 52 (1989), 603-606. (1989) MR1007636DOI10.1007/BF01237574
- J. Šlapal, Relations and topologies, Czech. Math. J. 43 (1993), 141-150. (1993) MR1205237
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