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β-character Algebra and a Commuting Pair in Hopf Algebras

✍ Scribed by Jun Hu; Yinhuo Zhang

Book ID
106341712
Publisher
Springer Netherlands
Year
2007
Tongue
English
Weight
406 KB
Volume
10
Category
Article
ISSN
1386-923X

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Duality and Rational Modules in Hopf Alg
Duality and Rational Modules in Hopf Algebras over Commutative Rings
✍ J.Y Abuhlail; J Gómez-Torrecillas; F.J Lobillo 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 155 KB

Let A be an algebra over a commutative ring R. If R is noetherian and A • is pure in R A , then the categories of rational left A-modules and right A • -comodules are isomorphic. In the Hopf algebra case, we can also strengthen the Blattner-Montgomery duality theorem. Finally, we give sufficient con