Bialgebroids, XA-bialgebras and duality

被引：72

作者：

Brzezinski, T

Militaru, G

机构：

[1] Univ Coll Swansea, Dept Math, Swansea SA2 8PP, W Glam, Wales

[2] Univ Bucharest, Fac Math, RO-70109 Bucharest 1, Romania

来源：

JOURNAL OF ALGEBRA | 2002年 / 251卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1006/jabr.2001.9101

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An equivalence between Lu's bialgebroids, Xu's bialgebroids with an anchor, and Takeuchi's X-A-bialgebras is explicitly proven. A new class of examples of bialgebroids is constructed. A (formal) dual of a bialgebroid, termed bicoalgebroid, is defined. A weak Hopf algebra is shown to be an example of such a bicoalgebroid. (C) 2002 Elsevier Science (USA).

引用

页码：279 / 294

页数：16

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