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

被引：0

作者：

Velicu, Georgiana ^{[1
]}

机构：

[1] Valahia Univ, Fac Sci & Arts, Bd Unirii 18-24, Targoviste, Romania

来源：

JOURNAL OF SCIENCE AND ARTS | 2008年 / 02期

关键词：

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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, Delta, epsilon) and path coalgebra (kQ, Delta', epsilon') for a partial ordered set (P, <=) , and in the final part of the paper we find a reletion between them, more exactly an injective application f : kS -> kQ.

引用

页码：218 / 223

页数：6

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