Dear all,

While working on an implementation of finite algebras over fields (#12141) 
I was slightly annoyed by the fact that Algebras are currently assumed to 
be unital.  I agree with Simon King's opinion:

I don't really like "magma algebra" or "magmatic algebra", but that's 
> mainly because 
> I never heard anyone using this notion before. I'd rather describe an 
> algebra as a 
> module over an appropriate operade than call it "magma algebra". 
>
> What I'd prefer is very simple: Just say "algebra" to an algebra. If any 
> additional 
> axiom holds, then the algebra should be called commutative, associative, 
> unital, 
> noetherian, lie, finite-dimensional, or whatever you like. But don't 
> mention the 
> *absence* of axioms! 
>

Best regards,

Peter Bruin

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