Linear monads

B. J. Day*

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    4 Citations (Scopus)


    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.

    Original languageEnglish
    Pages (from-to)177-192
    Number of pages16
    JournalBulletin of the Australian Mathematical Society
    Issue number2
    Publication statusPublished - 1977


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