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
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THE RELATION BETWEEN INCIDENCE COALGEBRA AND PATH COALGEBRA OF A PARTIAL ORDERED SET
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...
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