Distribution Algebras and Duality
β 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
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
We consider algebras with one binary operation } and one generator (monogenic) and satisfying the left distributive law a } (b } c)=(a } b) } (a } c). One can define a sequence of finite left-distributive algebras A n , and then take a limit to get an infinite monogenic left-distributive algebra A .
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
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