While educators and policymakers debate whether 8th graders can be readied to learn algebra, Sigrid B. Frawley sits in front of her kindergartners with a magic bag. She puts three tokens in the bag ...

Commutative algebra and algebraic geometry form a deeply interwoven field that investigates the structure of polynomial rings, their ideals, and the geometric objects defined by these algebraic sets.

This is a preview. Log in through your library . Abstract Let k be a commutative ring with unit of characteristic $p > 0$ and let G = Spec(A) be an affine commutative ...