ScholarLens Back to search
2005•Journal of Longyan Teachers CollegeRequires access

Coalgebras in the Yetter-Drinfeld Category and H-Cocommutativity

WU Yong-pin

Open publisher page 0 citations

Abstract

In this paper, we mainly discuss the condition under which a given coalgebra is a coalgebra in the Yetter-Drinfeld category and the relationship between the coalgebra and H-cocommutativity. We show that Yetter-Drinfeld modules are plentiful. In fact, all the Smash coproducts are the coalgebras in the Yetter-Drinfeld category.

About this research paper

What this paper is about

In this paper, we mainly discuss the condition under which a given coalgebra is a coalgebra in the Yetter-Drinfeld category and the relationship between the coalgebra and H-cocommutativity. We show that Yetter-Drinfeld modules are plentiful. In fact, all the Smash coproducts are the coalgebras in the Yetter-Drinfeld category.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

In this paper, we mainly discuss the condition under which a given coalgebra is a coalgebra in the Yetter-Drinfeld category and the relationship between the coalgebra and H-cocommutativity. We show that Yetter-Drinfeld modules are plentiful. In fact, all the Smash coproducts are the coalgebras in the Yetter-Drinfeld category.

Key concepts: Coalgebra, Coproduct, Mathematics, Pure mathematics, Algebra over a field

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Coalgebras in the Yetter-Drinfeld Category and H-Cocommutativity — Research Paper | ScholarLens