Geodesic
On a modification of axioms of general relations
Mathematica Bohemica, Tome 126 (2001) no. 3, pp. 581-592

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MR Zbl
Basic concepts concerning binary and ternary relations are extended to relations of arbitrary arities and then investigated.
Basic concepts concerning binary and ternary relations are extended to relations of arbitrary arities and then investigated.
DOI : 10.21136/MB.2001.134201
Classification : 03E20, 08A02
Keywords: relation; $n$-decomposition; diagonal; $(K, \psi )$-modification; composition; $m$-th power; $m$-th cyclic transposition; $(p)$-hull 
Karásek, Jiří. On a modification of axioms of general relations. Mathematica Bohemica, Tome 126 (2001) no. 3, pp. 581-592. doi: 10.21136/MB.2001.134201
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[1] G. Birkhoff: Lattice Theory (3rd edition). Amer. Math. Soc. Coll. Publ., Providence, R. I., 1967. | MR

[2] E. Čech: Point Sets. Academia, Praha, 1966. (Czech) | MR

[3] F. Hausdorff: Grundzüge der Mengenlehre. Veith $\&$ Co., Leipzig, 1914. | MR

[4] I. Chajda, V. Novák: On extension of cyclic orders. Časopis Pěst. Mat. 110 (1985), 116–121. | MR

[5] J. Karásek: On a modification of relational exioms. Arch. Math. 28 (1992), 95–111. | MR

[6] J. Karásek: Projections of relations. Math. Bohem. 120 (1995), 283–291. | MR

[7] V. Novák: Cyclically ordered sets. Czechoslovak Math. J. 32 (1982), 460–473. | MR

[8] J. Šlapal: Relations of type $\alpha $. Z. Math. Logik Grundl. Math. 34 (1988), 563–573. | DOI | MR

[9] J. Šlapal: On relations. Czechoslovak Math. J. 39 (1989), 198–214. | MR

[10] J. Šlapal: On the direct power of relational systems. Math. Slovaca 39 (1989), 251–255. | MR

[11] J. Šlapal: A note on general relations. Math. Slovaca 45 (1995), 1–8. | MR

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