On the structure of pointed coalgebras

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Well-Pointed Coalgebras

For set functors preserving intersections, a new description of the final coalgebra and the initial algebra is presented: the former consists of all well-pointed coalgebras. These are the pointed coalgebras having no proper subobject and no proper quotient. And the initial algebra consists of all well-pointed coalgebras that are well-founded in the sense of Osius [20] and Taylor [27]. Finally, ...

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 1982

ISSN: 0021-8693

DOI: 10.1016/0021-8693(82)90274-5