Geodesic
On strong regularity of relations
Mathematica Bohemica, Tome 119 (1994) no. 2, pp. 151-155

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MR Zbl
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.
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.
DOI : 10.21136/MB.1994.126076
Classification : 03E20, 04A05, 08A02
Keywords: relations of type $\alpha$; reflexivity; diagonality; strong regularity; homomorphism; extended preorders 
Šlapal, Josef. On strong regularity of relations. Mathematica Bohemica, Tome 119 (1994) no. 2, pp. 151-155. doi: 10.21136/MB.1994.126076
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[1] Y. Bar-Hillel A.A. Fraenkel A. Levy: Foundations of Set Theory. North Holland, Amsterdam, 1973. | MR

[2] E. Čech: Topological papers of Eduard Čech, Ch. 8. Academia, Prague, 1968, pp. 436-472. | MR

[3] H. Herrlich: Cartesian closed topological categories. Math. Coll. Univ. Cape Town 9 (1974), 1-16. | MR | Zbl

[4] S. Mac Lane: Categories for the Working Mathematician. Springer-Verlag, Heidelberg-New York, 1971. | MR | Zbl

[5] V. Novák: On a power of relational structures. Czech. Math. J. 35 (1985), 167-172. | MR

[6] J. Šlapal: Relations of type $\alpha$. Zeitschr. f. math. Logik und Grundl. d. Math. 34 (1988), 563-573. | DOI | MR

[7] J. Šlapal: Cartesian closedness in categories of relational systems. Arch. Math. (Basel) 52 (1989), 603-606. | DOI | MR

[8] J. Šlapal: Relations and topologies. Czech. Math. J. 43 (1993), 141-150. | MR

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