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Semigroups of order preserving partial transformations of a totally ordered set

✍ Scribed by N.R Reilly


Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
1015 KB
Volume
22
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES


Spanning retracts of a partially ordered
✍ D. Duffus; I. Rival; M. Simonovits πŸ“‚ Article πŸ“… 1980 πŸ› Elsevier Science 🌐 English βš– 639 KB

Two general kinds of subsets of a partially ordered set P are always retracts of P:: (1) every maximal chain of P is a retract; (2) in P, every isometric, spanning subset of length one with no crowns is a retract. It follows that in a partially ordered set P with the fixed point property, every maxi

Flag Vectors of Eulerian Partially Order
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The closed cone of flag vectors of Eulerian partially ordered sets is studied. A new family of linear inequalities valid for Eulerian flag vectors is given. Half-Eulerian posets are defined. Certain limit posets of Billera and Hetyei are half-Eulerian; they give rise to extreme rays of the cone for

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For a graph G whose vertices are vl, u2, . . . , v, and where E is the set of edges, we define a functional U,(h)= ss SC . . . frl,$EEh(Xi,Xj) > dPc(x~)dAxJ ... dp(x,), where h is a nonnegative symmetric function of two variables. We consider a binary relation + for graphs with fixed numbers of vert

The lattice of antichain cutsets of a pa
✍ Gerhard Behrendt πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 125 KB

## Behrendt, G., The lattice of antichain cutsets of a partially ordered set, Discrete Mathematics 89 (1991) 201-202. Every finite lattice is isomorphic to the lattice of antichain cutsets of a finite partially ordered set whose chains have at most three elements. A subset A of a partially order