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.
AMS 1980 subject classification
- Primary: 18A35, 08A60, 18B15, 08C05
- Secondary: 18A99, 08A99, 18D30, 18C05
Key words and phrases
- completions of categories
- largest initial completion
- unary algebras
- universal algebras
- concrete categories
- fibre-small category
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
[AHS] J. Adámek, H. Herrlich, and G. E. Strecker, Least and largest initial completions, Comment. Math. Univ. Carolinae 20 (1979), 43–77.
[ER] P. Erdös, and R. Rado, Partition calculus in set theory, Bull. Austral. Math. Soc. 62 (1956), 427–489.
[H] H. Herrlich, Initial Completions, Math. Z. 150 (1976), 101–110.
[N] M. Novotný, Über Abbildungen von Mengen, Pacific J. Math. 13 (1963), 1359–1369.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1982 Springer-Verlag
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/BFb0092867
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11211-2
Online ISBN: 978-3-540-39041-1
eBook Packages: Springer Book Archive
