Change binary Operation in Monoid/Semigroup Rings

asked 2018-10-15 20:36:38 -0600

Chernoxyl gravatar image

updated 2018-10-15 23:36:16 -0600

I have been experimenting in Semigroup rings and what I’m wondering is whether Sage allows me to define a Set, it’s binary operation, and take its Semigroup Ring via the Set.algebra constructor.

Example would be

S=Set([0,1,2]) #generators
A=S.algebra(RR,Semigroups())
A.product=lambda x,y: x+y

But this does work on the basis elements of A. I want to modify the way basis elements multiply.

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Comments

Maybe you need to create a new category for the algebra you need. Maybe you will find information on how to do this in the four documentation pages in the section Parents/Elements, Categories and algebraic structures of the thematic tutorials.

Sébastien gravatar imageSébastien ( 2018-10-18 08:04:43 -0600 )edit