Introduction to coalgebra.
Adámek, Jiří (2005)
Theory and Applications of Categories [electronic only]
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Displaying similar documents to “Iterative algebras: how iterative are they?”
Introduction to coalgebra.
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It is well known that, given an endofunctor on a category , the initial -algebras (if existing), i.e., the algebras of (wellfounded) -terms over different variable supplies , give rise to a monad with substitution as the extension operation (the free monad induced by the functor ). Moss [17] and Aczel, Adámek, Milius and Velebil [2] have shown that a similar monad, which even enjoys the additional special property of having iterations for all guarded substitution rules (complete...
More on orthogonality in locally presentable categories
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