Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Corecursive Algebras, Corecursive Monads and Bloom Monads   An algebra is called corecursive if from every coalgebra a unique
coalgebra-to-algebra homomorphism exists into it. We prove that free
corecursive algebras are obtained as coproducts of the terminal coalgebra
(considered as an algebra) and free algebras. The monad of free corecursive
algebras is proved to be the free corecursive monad, where the concept of
corecursive monad is a generalization of Elgot's iterative monads, analogous to
corecursive algebras generalizing completely iterative algebras. We also
characterize the Eilenberg-Moore algebras for the free corecursive monad and
call them Bloom algebras.

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The categories of this paper are: gr-qc
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: solv-int