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Complementary Pair of Quasi-antiorders

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Crvenković S., Mitrović M., Romano D. A.

Reports on Mathematical Logic

2010

vol. 45

The aims of the present paper are to introduction and investigate of notions of complementary pairs of quasi-antiorders and half-space quasi-antiorder on a given set. For a pair α and β of quasi-antiorders on a given set A we say that they are complementary pair if α ∪ β =6=A and α ∩ β = ∅. In that case, α (and β ) is called half-space on A. Assertion, if α is a half-space quasi-antiorder on A, then the induced anti-order θ on A/(α ∪ α−1) is a half-space too, is the main result of this paper.

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1 Reports on Mathematical Logic

1 2010

1 Crvenković S.

1 Mitrović M.

1 Romano D. A.

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Complementary Pair of Quasi-antiorders