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Keywords:
relations of arbitrary arity; reflexivity; symmetry; antisymmetry; cyclicity; projection; hulls of relations; hulls of projections; $n$-decomposition; relation; diagonal; $(\Cal K,\varphi)$-modification; $(p)$-hull; $(q,X)$-projection
relations of arbitrary arity; reflexivity; symmetry; antisymmetry; cyclicity; projection; hulls of relations; hulls of projections; $n$-decomposition; relation; diagonal; $(\Cal K,\varphi)$-modification; $(p)$-hull; $(q,X)$-projection
Summary:
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.
References:
[1] I. Chajda V. Novák: On extensions of cyclic orders. Čas. pěst. mat. 110(1985), 116-121. MR 0796561
[2] J. Karásek: On a modification of relational axioms. Arch. Math. 28 (1992), 95-111. MR 1201871
[3] V. Novák: Cyclically ordered sets. Czech. Math. Journ. 32 (1982), 460-473. MR 0669787
[4] V. Novák M. Novotný: On determination of a cyclic order. Czech. Math. Journ. 33 (1983), 555-563. MR 0721087
[5] V. Novák M. Novotný: Dimension theory for cyclically and cocyclically ordered sets. Czech. Math. Journ. 33 (1983), 647-653. MR 0721091
[6] V. Novák M. Novotný: On a power of cyclically ordered sets. Čas. pěst. mat. 109 (1984), 421-424. MR 0774282
[7] V. Novák M. Novotný: Universal cyclically ordered sets. Czech. Math. Journ. 35 (1985), 158-161. MR 0779343
[8] M. Novotný: Ternary structures and groupoids. Czech. Math. Journ. 41 (1991), 90-98. MR 1087627
[9] J. Šlapal: On relations of type $\alpha$. Z. Math. Logik Grundlagen Math. 34 (1988), 563-573. DOI 10.1002/malq.19880340608 | MR 0973399
[10] J. Šlapal: On relations. Czech. Math. Journ. 39 (1989), 198-214.
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