On the Homology of Group Graded Algebras
β Scribed by J. Cornick
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 903 KB
- Volume
- 174
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
Throughout this paper, all rings are assumed to have identities and all modules over a ring are assumed to be unitary and finitely generated over the ring. We shall also assume that O is a commutative ring and that R is an O-algebra. We shall let R Γ denote the multiplicative group of units of R. R
The main result in this paper states that every strongly graded bialgebra whose component of grade 1 is a finite-dimensional Hopf algebra is itself a Hopf algebra. This fact is used to obtain a group cohomology classification of strongly graded Hopf algebras, with 1-component of finite dimension, fr