[Haskell-cafe] A question about algebra and dependent typing

Henning Thielemann lemming at henning-thielemann.de
Mon Jul 14 16:08:33 EDT 2008

On Mon, 14 Jul 2008, Nathan Bloomfield wrote:

> There's something I want to do with Haskell, and after tinkering for a while
> I think it's not possible. Before giving up entirely, I thought I'd try this
> mailing list.
> I'm working on an abstract algebra library, using the "types are sets"
> strategy. For the algebraists out there, I'm trying to implement as much as
> I can of "Abstract Algebra" by Dummit & Foote in Haskell. I've got a Ring
> class definition that looks approximately like

It follows my usual pointer to NumericPrelude where some
algebraic structures are implemented including residue classes.
However a quotient by a general ideal is missing.

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