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Well-Pointed Coalgebras

Jiří Adámek ; Stefan Milius ; Lawrence S Moss ; Lurdes Sousa.
For endofunctors of varieties 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. The initial algebra consists&nbsp;[&hellip;]
Published on August 9, 2013
Volume 9, Issue 3

Aspects of algebraic Algebras

Dirk Hofmann ; Lurdes Sousa.
In this paper we investigate important categories lying strictly between the Kleisli category and the Eilenberg-Moore category, for a Kock-Z\"oberlein monad on an order-enriched category. Firstly, we give a characterisation of free algebras in the spirit of domain theory. Secondly, we study the&nbsp;[&hellip;]
Published on July 10, 2017
Volume 13, Issue 3
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