On global dimension of Yetter-Drinfel'd Hopf algebras

Yan Hua Wang

doi:10.1007/s11425-009-0057-z

On global dimension of Yetter-Drinfel'd Hopf algebras

Yan Hua Wang

Shanghai University of Finance and Economics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, it is proved that the global dimension of a Yetter-Drinfel'd Hopf algebra coincides with the projective dimension of its trivial module k.

Original language	English
Pages (from-to)	2154-2162
Number of pages	9
Journal	Science in China, Series A: Mathematics
Volume	52
Issue number	10
DOIs	https://doi.org/10.1007/s11425-009-0057-z
Publication status	Published - Oct 2009
Externally published	Yes

Keywords

Global dimension
Hopf algebras
Projective dimension
Yetter-Drinfel'd Hopf algebras
Yetter-Drinfel'd modules

Access to Document

10.1007/s11425-009-0057-z

Cite this

@article{d114350329fb4a178e6e1628652513ba,

title = "On global dimension of Yetter-Drinfel'd Hopf algebras",

abstract = "In this paper, it is proved that the global dimension of a Yetter-Drinfel'd Hopf algebra coincides with the projective dimension of its trivial module k.",

keywords = "Global dimension, Hopf algebras, Projective dimension, Yetter-Drinfel'd Hopf algebras, Yetter-Drinfel'd modules",

author = "Wang, \{Yan Hua\}",

year = "2009",

month = oct,

doi = "10.1007/s11425-009-0057-z",

language = "English",

volume = "52",

pages = "2154--2162",

journal = "Science in China, Series A: Mathematics",

issn = "1006-9283",

publisher = "Science Press (China)",

number = "10",

}

TY - JOUR

T1 - On global dimension of Yetter-Drinfel'd Hopf algebras

AU - Wang, Yan Hua

PY - 2009/10

Y1 - 2009/10

N2 - In this paper, it is proved that the global dimension of a Yetter-Drinfel'd Hopf algebra coincides with the projective dimension of its trivial module k.

AB - In this paper, it is proved that the global dimension of a Yetter-Drinfel'd Hopf algebra coincides with the projective dimension of its trivial module k.

KW - Global dimension

KW - Hopf algebras

KW - Projective dimension

KW - Yetter-Drinfel'd Hopf algebras

KW - Yetter-Drinfel'd modules

UR - https://www.scopus.com/pages/publications/70350284262

U2 - 10.1007/s11425-009-0057-z

DO - 10.1007/s11425-009-0057-z

M3 - Article

AN - SCOPUS:70350284262

SN - 1006-9283

VL - 52

SP - 2154

EP - 2162

JO - Science in China, Series A: Mathematics

JF - Science in China, Series A: Mathematics

IS - 10

ER -

On global dimension of Yetter-Drinfel'd Hopf algebras

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this