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» Finite Posets and their Representation Algebras
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IJAC
2010
88views more  IJAC 2010»
14 years 5 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»
14 years 10 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»
14 years 10 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»
14 years 10 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»
14 years 10 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