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Duality of functors and duality of categories

✍ 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

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πŸ“œ SIMILAR VOLUMES


Functor category dualities for varieties
✍ B.A. Davey; M.R. Talukder πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 228 KB

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.

Continuous Functors and Duality
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Groups, Categories and Duality
✍ Saunders MacLane πŸ“‚ Article πŸ“… 1948 πŸ› National Academy of Sciences 🌐 English βš– 241 KB
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✍ Ezra Miller πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 375 KB

Alexander duality is made into a functor which extends the notion for monomial ideals to any finitely generated β€«ήŽβ€¬ 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