Re: monic epics

[Agnes Boskovitz <agnes.boskovitz@rsise.anu.edu.au>]

Hi

You might be interested in the Masters thesis I wrote in 1980 called
"Epimorphisms in Algebraic and Some Other Categories", which might have
some relevant information in it for you.  You can get it from the McGill
University library, or from Library and Archives Canada, or I can email
you a copy if you wish.

Agnes Boskovitz

David Karapetyan wrote:
> Hi, I've been trying to learn some category theory and I came upon the
> example of a monic, epic in the category of monoids given by the
> inclusion function of (N,0,+) into (Z,0,+). I know that in monoids every
> monic arrow is also an injective function but the inclusion function of
> N into Z provides a counterexample of every epic arrow being a
> surjective function. I noticed that N is just a "folded" version of Z,
> where by "folded" I mean take Z and throw away all the inverses of the
> natural numbers. So does every monic, epic arrow determine such a
> "folding" or are there monic, epics that can't be characterized in such
> a way?
>
>