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On the largest initial completion of categories of algebras

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Categorical Aspects of Topology and Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 915))

Abstract

The category of unary algebras on one operation is shown to have a largest initial completion that is not fibre-small. Since all more complex signatures are known to yield categories of algebras without a largest initial completion, the picture is complete.

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B. Banaschewski

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© 1982 Springer-Verlag

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Adámek, J., Strecker, G.E. (1982). On the largest initial completion of categories of algebras. In: Banaschewski, B. (eds) Categorical Aspects of Topology and Analysis. Lecture Notes in Mathematics, vol 915. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092867

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  • DOI: https://doi.org/10.1007/BFb0092867

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11211-2

  • Online ISBN: 978-3-540-39041-1

  • eBook Packages: Springer Book Archive

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