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Distribution Algebras and Duality

✍ Scribed by Marta Bunge; Jonathon Funk; Mamuka Jibladze; Thomas Streicher


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
191 KB
Volume
156
Category
Article
ISSN
0001-8708

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A Hopf algebra is a pair (A, 2) where A is an associative algebra with identity and 2 a homomorphism form A to A A satisfying certain conditions. If we drop the assumption that A has an identity and if we allow 2 to have values in the socalled multiplier algebra M(A A), we get a natural extension of

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A duality is established between left and right ideals of a finite dimensional Grassmann algebra such that if under the duality a left ideal α‘£ and a right ideal J correspond then α‘£ is the left annihilator of J and J the right annihilator of α‘£. Another duality is established for two-sided ideals of t

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