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Subgroups of the Brauer Group of a Cocommutative Coalgebra

✍ Scribed by J. Cuadra; J. R. García Rozas; B. Torrecillas


Book ID
110282915
Publisher
Springer Netherlands
Year
2000
Tongue
English
Weight
138 KB
Volume
3
Category
Article
ISSN
1386-923X

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The Brauer Group of Irreducible Coalgebr
✍ J Cuadra; J.R Garcı́a Rozas; B Torrecillas; F Van Oystaeyen 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 159 KB

That is, for a cocommuta-Ž . Ž . Ž . tive irreducible coalgebra C, the homomorphism y \*: Br C ª Br C\* is injective. The proof uses Morita᎐Takeuchi theory and the linear topology of all closed Ž . cofinite left ideals in C\*. As an inmediate consequence, Br C is a torsion group. Ž . Some cases wher