Recent content by kavoukoff1

  1. K

    Graduate How can you determine if a composite extension is purely inseparable?

    Sorry, I forgot to put up my thoughts/attempts at this problem. Do I use the fact that if x is an element of K1 and y is an element of K2, then xpn and ypm are in F for some m and n. But, how do you use this to show that K1K2/F is a purely inseparable extension?
  2. K

    Graduate How can you determine if a composite extension is purely inseparable?

    Could anyone give me some help for showing if K1/F and K2/F are purely inseparable extensions, then K1K2/F is purely inseparable. Thanks!