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» Finite Posets and their Representation Algebras
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IJAC
2010
88views more  IJAC 2010»
12 years 11 months ago
Finite Posets and their Representation Algebras
A finite poset (P S) determines a finite dimensional algebra TP over the field over the field F of two elements, with an upper triangular representation. We determine the structure...
Murray Gerstenhaber, Mary Schaps
DM
2008
90views more  DM 2008»
13 years 5 months ago
Retractions onto series-parallel posets
The poset retraction problem for a poset P is whether a given poset Q containing P as a subposet admits a retraction onto P, that is, whether there is a homomorphism from Q onto P...
Víctor Dalmau, Andrei A. Krokhin, Benoit La...
ORDER
2008
82views more  ORDER 2008»
13 years 4 months ago
Profinite Heyting Algebras
For a Heyting algebra A, we show that the following conditions are equivalent: (i) A is profinite; (ii) A is finitely approximable, complete, and completely join-prime generated; (...
Guram Bezhanishvili, Nick Bezhanishvili
DM
1999
65views more  DM 1999»
13 years 4 months ago
Finite three dimensional partial orders which are not sphere orders
Abstract. Given a partially ordered set P = (X; P ), a function F which assigns to each x 2 X a set F (x) so that x y in P if and only if F (x) F (y) is called an inclusion represe...
Stefan Felsner, Peter C. Fishburn, William T. Trot...
FUIN
2007
122views more  FUIN 2007»
13 years 4 months ago
Behaviour Algebras
The paper is concerned with algebras whose elements can be used to represent runs of a system, called processes. These algebras, called behaviour algebras, are categories with resp...
Józef Winkowski