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Coproducts of algebras and derivations on categories

Published online by Cambridge University Press:  17 April 2009

B. J. Day
B. J. Day
Affiliation:
School of Mathematics and Physics, Macquarie University, North Ryde, New South Wales 2113, Australia.
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Abstract

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Coproducts and tensor products of algebras for essentially algebraic theories are exhibited as Kan extensions and relationships with derivations on monoidal closed categories are described.

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 30 , Issue 1 , August 1984 , pp. 153 - 156
Copyright
Copyright © Australian Mathematical Society 1984

References

[1]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).CrossRefGoogle Scholar
[2]Joyal, Andreé, “Une théorie combinatoire des séries formelles”, Advances in Mathematics 42 (1981), 1–82.CrossRefGoogle Scholar
[3]Kelly, G.M., “Structures defined by finite limits in the enriched context I”, Cahiers Topologie Géom. Différentielle 23 (1982), 3–42.Google Scholar