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- W4293744179 abstract "For a partial order $preceq$ on a set X and an equivalency relation S defined on the same set X we derive a necessary and sufficient condition for the existence of such a total preorder on X whose asymmetric part contains the asymmetric part of the given partial order $preceq$ and whose symmetric part coincides with the given equivalence relation S. This result generalizes the classical Szpilrajn theorem on extension of a partial order to a perfect (linear) order." @default.
- W4293744179 created "2022-08-31" @default.
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- W4293744179 date "2011-11-06" @default.
- W4293744179 modified "2023-09-27" @default.
- W4293744179 title "On extension of partial orders to total preorders with prescribed symmetric part" @default.
- W4293744179 doi "https://doi.org/10.48550/arxiv.1111.1390" @default.
- W4293744179 hasPublicationYear "2011" @default.
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