Partial orders, closed relations and their automorphisms
β Scribed by Darel W. Hardy; Melvin C. Thornton
- Book ID
- 110560058
- Publisher
- Springer
- Year
- 1981
- Tongue
- English
- Weight
- 590 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0037-1912
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Hy finding invariant embeddings of a partially ordered set X into the semigroups it is shown that the semigroup of order ideals of X. where the semigroup operation is set union, and the semigroup and semiring of order preserving maps from X into the positive cone D' of a partially tirdered integral
We show that for a fuzzy partial order R on a ΓΏnite universe , there is a ΓΏnite family of fuzzy linear orders {Li: 16i6k} such that R(x; y) = min{ L i (x; y): 16i6k} for all x and y. This generalizes a well-known result on crisp partial orders, which states that each partial order on a ΓΏnite set is