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.
β¦ LIBER β¦
Duality of functors and duality of categories
β Scribed by V. V. Kuznetsov; A. S. Shvarts
- Book ID
- 112711696
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1968
- Tongue
- English
- Weight
- 893 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0037-4466
No coin nor oath required. For personal study only.
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Alexander duality is made into a functor which extends the notion for monomial ideals to any finitely generated β«ήβ¬ n -graded module. The functors associated with Alexander duality provide a duality on the level of free and injective resolutions, and numerous Bass and Betti number relations result a