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 208
- Downloads 0
SOLUTION OF TIME INDEPENDENT SCHRÖDINGER EQUATION FOR THE QUANTUM HARMONIC OSCILLATOR USING FRACTIONAL HARTLEY TRANSFORM
In this paper we have proved some operation transform formulae for fractional Hartley transform in section 2. Solution of Time Independent Schrödinger Equation for the Quantum Harmonic Oscillator was found using the abov...
THE INTERSECTION SYNTHESES FOR THE PHOTOCHROMIC MATERIALS BY POLYMERIC TYPE
The present paper aims to demonstrate the feasibility of synthesis processes of polymeric materials with chromophore sequence, highlighting features of procedure and that the property where appropriate.
A NOTE ON THE SCHURER'S CUBATURE FORMULA
Starting with the Schurer's bivariate approximation formula, a cubature formula of Schurer type is constructed. When the approximated function is sufficiently differentiable, an upper bound estimation for the remainder t...
ON SOME PROPERTIES OF INCLINES
In this paper we obtained some properties satisfied by the elements of an Incline. We defined an incline with unity and obtained some results related to regular, idempotent elements in an incline and established relation...
THE USING OF THE INTEGRATING FACTOR IN SOLVING OF DIFERENTIAL STOCHASTIC EQUATION
More and random phenomena in our environment are modulated by differential stochastic equations. The problem is finding of techniques solving differential stochastic equation using similar ways to the one we use for solv...