Projections of relations

Jiří Karásek

Mathematica Bohemica (1995)

  • Volume: 120, Issue: 3, page 283-291
  • ISSN: 0862-7959

Abstract

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A projection of a relation is defined as a relation of reduced arity. The paper deals with projections of relations in coherence with their reflexivity, symmetry, completeness, regularity, cyclicity and other properties. Relationships between projections of hulls and hulls of projections are also studied.

How to cite

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Karásek, Jiří. "Projections of relations." Mathematica Bohemica 120.3 (1995): 283-291. <http://eudml.org/doc/247803>.

@article{Karásek1995,
abstract = {A projection of a relation is defined as a relation of reduced arity. The paper deals with projections of relations in coherence with their reflexivity, symmetry, completeness, regularity, cyclicity and other properties. Relationships between projections of hulls and hulls of projections are also studied.},
author = {Karásek, Jiří},
journal = {Mathematica Bohemica},
keywords = {relations of arbitrary arity; reflexivity; symmetry; antisymmetry; cyclicity; projection; hulls of relations; hulls of projections; $n$-decomposition; relation; diagonal; $(\mathcal \{K\},\varphi )$-modification; $(p)$-hull; $(q,X)$-projection; -decomposition; relations of arbitrary arity; reflexivity; symmetry; antisymmetry; cyclicity; projection; hulls of relations; hulls of projections},
language = {eng},
number = {3},
pages = {283-291},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Projections of relations},
url = {http://eudml.org/doc/247803},
volume = {120},
year = {1995},
}

TY - JOUR
AU - Karásek, Jiří
TI - Projections of relations
JO - Mathematica Bohemica
PY - 1995
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 120
IS - 3
SP - 283
EP - 291
AB - A projection of a relation is defined as a relation of reduced arity. The paper deals with projections of relations in coherence with their reflexivity, symmetry, completeness, regularity, cyclicity and other properties. Relationships between projections of hulls and hulls of projections are also studied.
LA - eng
KW - relations of arbitrary arity; reflexivity; symmetry; antisymmetry; cyclicity; projection; hulls of relations; hulls of projections; $n$-decomposition; relation; diagonal; $(\mathcal {K},\varphi )$-modification; $(p)$-hull; $(q,X)$-projection; -decomposition; relations of arbitrary arity; reflexivity; symmetry; antisymmetry; cyclicity; projection; hulls of relations; hulls of projections
UR - http://eudml.org/doc/247803
ER -

References

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  1. I. Chajda V. Novák, On extensions of cyclic orders, Čas. pěst. mat. 110(1985), 116-121. (1985) MR0796561
  2. J. Karásek, On a modification of relational axioms, Arch. Math. 28 (1992), 95-111. (1992) MR1201871
  3. V. Novák, Cyclically ordered sets, Czech. Math. Journ. 32 (1982), 460-473. (1982) MR0669787
  4. V. Novák M. Novotný, On determination of a cyclic order, Czech. Math. Journ. 33 (1983), 555-563. (1983) MR0721087
  5. V. Novák M. Novotný, Dimension theory for cyclically and cocyclically ordered sets, Czech. Math. Journ. 33 (1983), 647-653. (1983) MR0721091
  6. V. Novák M. Novotný, On a power of cyclically ordered sets, Čas. pěst. mat. 109 (1984), 421-424. (1984) MR0774282
  7. V. Novák M. Novotný, Universal cyclically ordered sets, Czech. Math. Journ. 35 (1985), 158-161. (1985) MR0779343
  8. M. Novotný, Ternary structures and groupoids, Czech. Math. Journ. 41 (1991), 90-98. (1991) MR1087627
  9. J. Šlapal, 10.1002/malq.19880340608, Z. Math. Logik Grundlagen Math. 34 (1988), 563-573. (1988) MR0973399DOI10.1002/malq.19880340608
  10. J. Šlapal, On relations, Czech. Math. Journ. 39 (1989), 198-214. (1989) 

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