Hello Sir,

I was going through "Algebras" and I had a doubt.
Does MagmaticAlgebra and AssociativeAlgebra have to be implemented over 
Ring only? 
I went through internet and google uses rings to define those algebras, but 
the axioms that those algebra follow (Unital, Associative) are also 
preserved by commutative semirings.
Would it be good to define MagmaticAlgebra and AssociativeAlgebra over 
other objects that follow those axioms too or come-up with alternative 
Algebra?

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