27 Oct
2008
27 Oct
'08
10:43 p.m.
On 28 Oct 2008, at 2:54 pm, Derek Elkins wrote:
On Tue, 2008-10-28 at 13:54 +1300, Richard O'Keefe wrote:
Is there a special name for an operator monoid where the structure that's acted on is an Abelian group?
This should just be equivalent to a ring, maybe without distributivity. Maybe missing some other properties depending on what you mean by "operator."
Yes, it's close to a ring, but we have ((M,*,1),(X,+,0,-)) where (M,*,1) is the monoid and (X,+,0,-) is the Abelian group. For what I have in mind the sets M and X are disjoint. For a ring they would be identical. (This being Haskell-Café, I knew types would come in useful...)