Complementary Pair of Quasi-antiorders

• Authors: Siniš Crvenković , Melanija Mitrović , Daniel Abraham Romano
• Languages of publication: PL

Abstracts

PL

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.

Keywords

PL

• Publisher: [unknown2]
• Journal: Reports on Mathematical Logic
• Year: 2010
• Volume: 45

Dates

published

2010

online

07 - 07 - 2015

Contributors

author

Siniš Crvenković

author

Melanija Mitrović

author

Daniel Abraham Romano