Hello,
is it possible in Sage to construct a product ring of two integer modulo rings?
When just creating an cartesian_product, it is for example not possible to add its elements:
R5=Integers(5)
R3=Integers(3)
CR=R5.cartesian_product(R3)
elem=CR((3,2)) # ok, element construction
elem*elem # ok
elem+elem # fails
CR.list() # not implemented
CR.list_of_elements_of_multiplicative_group # not implemented