On a modification of axioms of general relations

Jiří Karásek

Mathematica Bohemica (2001)

  • Volume: 126, Issue: 3, page 581-592
  • ISSN: 0862-7959

Abstract

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Basic concepts concerning binary and ternary relations are extended to relations of arbitrary arities and then investigated.

How to cite

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Karásek, Jiří. "On a modification of axioms of general relations." Mathematica Bohemica 126.3 (2001): 581-592. <http://eudml.org/doc/248874>.

@article{Karásek2001,
abstract = {Basic concepts concerning binary and ternary relations are extended to relations of arbitrary arities and then investigated.},
author = {Karásek, Jiří},
journal = {Mathematica Bohemica},
keywords = {relation; $n$-decomposition; diagonal; $(K,\psi )$-modification; composition; $m$-th power; $m$-th cyclic transposition; $(p)$-hull; relation; -decomposition; diagonal; -modification; composition; -th power; -th cyclic transposition; -hull},
language = {eng},
number = {3},
pages = {581-592},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On a modification of axioms of general relations},
url = {http://eudml.org/doc/248874},
volume = {126},
year = {2001},
}

TY - JOUR
AU - Karásek, Jiří
TI - On a modification of axioms of general relations
JO - Mathematica Bohemica
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 126
IS - 3
SP - 581
EP - 592
AB - Basic concepts concerning binary and ternary relations are extended to relations of arbitrary arities and then investigated.
LA - eng
KW - relation; $n$-decomposition; diagonal; $(K,\psi )$-modification; composition; $m$-th power; $m$-th cyclic transposition; $(p)$-hull; relation; -decomposition; diagonal; -modification; composition; -th power; -th cyclic transposition; -hull
UR - http://eudml.org/doc/248874
ER -

References

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  5. On a modification of relational exioms, Arch. Math. 28 (1992), 95–111. (1992) MR1201871
  6. Projections of relations, Math. Bohem. 120 (1995), 283–291. (1995) MR1369686
  7. Cyclically ordered sets, Czechoslovak Math. J. 32 (1982), 460–473. (1982) MR0669787
  8. Relations of type α , Z. Math. Logik Grundl. Math. 34 (1988), 563–573. (1988) MR0973399
  9. On relations, Czechoslovak Math. J. 39 (1989), 198–214. (1989) MR0992127
  10. On the direct power of relational systems, Math. Slovaca 39 (1989), 251–255. (1989) MR1016341
  11. A note on general relations, Math. Slovaca 45 (1995), 1–8. (1995) MR1335834

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