Mr-Andersen/newtype-algebra

Algebraic structures with newtype

Goal: tie implementations of (+), (*) to (<>) and (-), (/) to combination of (<>) and inverse.

• Data.Group - intermediate module that defines inverse.
• Data.Semiring - re-uses 2 Monoid instances to get zero, (+), one, (*).
• Data.Ring and Data.Field - adds Group requirements on top of Semiring to get - and /.