Duality theorems for algebras in convenient categories
β Scribed by Sung Sa Hong; Louis D. Nel
- Publisher
- Springer-Verlag
- Year
- 1979
- Tongue
- French
- Weight
- 382 KB
- Volume
- 166
- Category
- Article
- ISSN
- 0025-5874
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let A be a ΓΏnitely generated variety of Heyting algebras and let SI(A) be the class of subdirectly irreducible algebras in A. We prove that A is dually equivalent to a category of functors from SI(A) into the category of Boolean spaces. The main tool is the theory of multisorted natural dualities.
For a finite dimensional semisimple cosemisimple Hopf algebra A and its dual Hopf algebra B, we set up a natural one-to-one correspondence between categories with actions of the monoidal categories of representations of A and of B. This gives a categorical interpretation of the duality for actions o