ISSN:
1432-1785
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Let k be a perfect field of characteristic p≠0; the categoryH of connected abelian Hopf algebras over k is abelian and locally noetherian. Technics of locally noetherian categories are used here to obtain Krull and homological dimensions ofH (which are respectively 1 and 2), and a decomposition ofH in a product of categories. First we have , whereH − is the category of Grassman algebras, andH + consists of Hopf algebras which are zero in odd degrees; then we prove thatH + itself is a product of isomorphic categoriesH n, n∈ℕ*, and we give an equivalence betweenH n and a category of modules. This is compared to some results of algebraic geometry about Greenberg modules.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01273307
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