Cocommuative Hopf algebras over \(\mathbb{Z}\)
type: Item
instance of: scholarly article
title: Cocommuative Hopf algebras over \(\mathbb{Z}\)
zbMATH Open document ID: 0880.16023
author: I. V. Verbovskij
published in: Moscow University Mathematics Bulletin
publication date: 1997-10-08T00:00:00Z
review text: We describe cocommutative Hopf algebras over \(\mathbb{Z}\), which are free \(\mathbb{Z}\)-modules of square-free odd rank, and also present some examples of Hopf algebras over \(\mathbb{Q}\) in which no Hopf \(\mathbb{Z}\)-orders exist.
Mathematics Subject Classification ID: 16W30
Mathematics Subject Classification ID: 16H05
zbMATH DE Number: 1028400
zbMATH Keywords: cocommutative Hopf algebras
zbMATH Keywords: free modules
zbMATH Keywords: Hopf orders
MaRDI profile type: Publication
Recommended article: Q5749435
Recommended article: On Hopf algebras with cocommutative coradicals
Recommended article: On the Hochschild cohomology of commutative Hopf algebras
Recommended article: Cohomology of Algebras Over Hopf Algebras
Recommended article: Actions of cocommutative Hopf algebras
Recommended article: On homomorphisms of cocommutative coalgebras and Hopf algebras
Recommended article: A remark on almost cocommutative Hopf algebras
Recommended article: Cohomology of finite-dimensional connected cocommutative Hopf algebras
Recommended article: Hopfian and co-Hopfian modules over commutative rings
Recommended article: Cohomology of a Hopf algebra over \(Z_ 2\)
description: scientific article; zbMATH DE number 1028400