Hostname: page-component-586b7cd67f-rdxmf Total loading time: 0 Render date: 2024-12-02T20:41:17.291Z Has data issue: false hasContentIssue false
  • English
  • Français

Varieties of a closed category

Published online by Cambridge University Press:  17 April 2009

B.J. Day
B.J. Day
Affiliation:
Department of Pure Mathematics, University of Sydney, Sydney, New South Wales.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this article closed variety structures generated by a monoidal class of identities are examined. This leads to closed enrichments of various results of Y. Diers [Ann. Soc. Sci. Bruxelles Sér. I 90 (1976), 159–172] on varieties of a category.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 16 , Issue 1 , February 1977 , pp. 131 - 145
Copyright
Copyright © Australian Mathematical Society 1977

References

[1]Borceux, Francis and Kelly, G.M., “A notion of limit for enriched categories”, Bull. Austral. Math. Soc. 12 (1975), 49–72.CrossRefGoogle Scholar
[2]Day, Brian, “On closed categories of functors”, Reports of the Midwest Category Seminar IV, 1–38 (Lecture Notes in Mathematics, 137. Springer-Verlag, Berlin, Heidelberg, New York, 1970).Google Scholar
[3]Day, Brian, “A reflection theorem for closed categories”, J. Pure Appl. Algebra 2 (1972), 1–11.Google Scholar
[4]Day, Brian, “On closed categories of functors II”, Category seminar, 20–54 (Proc. Sydney Category Theory Seminar 1972/1973. Lecture Notes in Mathematics, 420. Springer-Verlag, Berlin, Heidelberg, New York, 1974).Google Scholar
[5]Diers, Y., “Variétés d'une catégorie”, Ann. Soc. Sci. Bruxelles Sér. I 90 (1976), 159–172.Google Scholar
[6]Eilenberg, Samuel and Kelly, G. Max, “Closed categories”, Proc. Conf. Categorical Algebra, La Jolla, California, 1965, 421–562 (Springer-Verlag, Berlin, Heidelberg, New York, 1966).Google Scholar
[7]Linton, F.E.J., “Coequalizers in categories of algebras”, Seminar on triples and categorical homology theory, 75–90 (Lecture Notes in Mathematics, 80. Springer-Verlag, Berlin, Heidelberg, New York, 1969).Google Scholar
[8]Lane, S. Mac, Categories for the working mathematician (Graduate Texts in Mathematics, 5. Springer-Verlag, Berlin, Heidelberg, New York, 1971).Google Scholar
[9]Ulmer, Friedrich, “Properties of dense and relative adjoint functors”, J. Algebra 8 (1968), 77–95.Google Scholar