On 2017-06-29 19:41, Nicolas M. Thiery wrote:
         Hi Jeroen,

On Tue, Jun 27, 2017 at 11:31:36AM +0200, Jeroen Demeyer wrote:
Suppose that R is some parent which is contained in the category Algebras(B)
for some ring B, how does one determine B from the parent R?

I am asking because I want to implement a new method in the ParentMethods of
Algebras, which needs to refer to the base_ring of the category. I feel like
ParentMethods should have a way to refer back to the category where the
ParentMethods was defined.

You can safely assume that the parent B implements R.base_ring().

OK, but the question becomes:

Suppose a parent R is in Algebras(something), is it safe to assume that R is an algebra over R.base_ring()? In other words, what is the semantic of "base_ring"?

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