请教prep一道语法题

India, like Italy and China, has no single dominant cuisine: Indian food comprises many different styles of cooking, each a product of regional

influences, from the fiery vegetarian dishes of the south to the Portuguese-influenced Boan cooking of the west, to the more familiar Mogul food of the

south.

为什么是each a product of....? 请教each 的用法。

多谢！

没有人响应哦，我还是先把自己先给打捞上来再说，请大家帮忙。