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2007•Theory and applications of categoriesOpen access

Monad compositions I: general constructions and recursive distributive laws

Ernie Manes, Philip S. Mulry

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Abstract

New techniques for constructing a distributive law of a monad over another are studied using submonads, quotient monads, product monads, recursively-defined distributive laws, and linear equations.Sequel papers will consider distributive laws in closed categories and will construct monad approximations for compositions which fail to be a monad.

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New techniques for constructing a distributive law of a monad over another are studied using submonads, quotient monads, product monads, recursively-defined distributive laws, and linear equations.Sequel papers will consider distributive laws in closed categories and will construct monad approximations for compositions which fail to be a monad.

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Available abstract

New techniques for constructing a distributive law of a monad over another are studied using submonads, quotient monads, product monads, recursively-defined distributive laws, and linear equations.Sequel papers will consider distributive laws in closed categories and will construct monad approximations for compositions which fail to be a monad.

Key concepts: Monad (category theory), Distributive property, Construct (python library), Product (mathematics), Mathematics, Pure mathematics, Law, Algebra over a field

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