THE RELATION BETWEEN INCIDENCE COALGEBRA AND PATH COALGEBRA OF A PARTIAL ORDERED SET
Journal Title: Journal of Science And Arts - Year 2008, Vol 9, Issue 2
Abstract
In the first part of the article are related some notion in a cathegoricaly way, like k-algebra and k-coalgebra, where k is a field. Then we construct the incidence coalgebra (kS,Δ,ε ) and path coalgebra (kQ,Δ',ε ') for a partial ordered set , and in the final part of the paper we find a reletion between them, more exactly an injective application .
Authors and Affiliations
Georgiana Velicu
Keywords
Related Articles
- EP ID EP102492
- DOI -
- Views 201
- Downloads 0
AEROSOL SAMPLES ELEMENTAL ANALYSIS FROM SOME ROMANIAN URBAN REGIONS BY PIXE TECHNIQUE
Aerosols deposits on filters from ten Romanian towns with different kinds and levels of industrial development were studied in this work. The elemental composition of samples was established by performing Particle-Induce...
DOSIMETRIC FEATURES OF NATURAL FLUORITE<br /> FROM ROMANIA
Thermoluminescent dosimetric features of two batches of fluorite from Romania (Cavnic and Tulcea) are presented. An initial thermal treatment at 600[sup]°[/sup]C for 60 min. to cleaning of natural dose has been performed...
A PROBLEM IN NONLINEAR OPTIMIZATION
ON A GEOMETRIC INEQUALITY OF OPPENHEIM
In this paper we give a simple proof of an Oppenheim’s geometric inequality by using a new lemma, we also prove a refinement of the Oppenheim inequality. Some related conjectures which have been checked by the computer a...
ON THE CAUCHY PROBLEM OF NAVIER-STOKES FLOW
Consider the Cauchy semilinear problem of the Navier-Stokes flow of incompressible fluids - one of the Millenium Prize Problems. By standard arguments we can formulate the problem as an abstract equation and prove the ex...