Rival Magic: Question

Amazon Sorcery
Do their Arts advance like Hermetic Arts (i.e. Accelerated) or does it advance like any standard ability?

The are described as being Arts, and as such would use the 'Art' column on the table of ArM5, p. 31.
They are not 'accelerated abilites, see perhaps Rival Magic, p. 8-9, but they are also not difficut Arts (same reference).

Thank you. I read all of the amazonian chapter but it never said anything.

For Rival Magic, it's important to really internalize that opening chapter, because it has components which apply to all of the different traditions.