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Linear monads

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.
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A monad T = (T, μ, η) on a category C is said to be linear with respect to a dense functor N: A → C if the operator T is the epimorphic image of a certain colimit of its values on A. The main aim of the article is to relate the concept of a linear monad to that of a monad with rank. A comparison is then made between linear monads and algebraic theories.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 17 , Issue 2 , October 1977 , pp. 177 - 192
Copyright
Copyright © Australian Mathematical Society 1977

References

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