Recent content by mclove

  1. M

    Maximal Ideal Theorem: Proving M/IM=O for R-Module M and Ideal I

    Homework Statement let M be an R-module and I an ideal of R suppose Mm=0 for all maximal ideals m then, M=IM The Attempt at a Solution O\rightarrow IM \rightarrow M \rightarrow M/IM \rightarrow O is exact seq To show that M/IM=O (then M=IM)
  2. M

    Can x^8+x^4+1 be factored over Q?

    Homework Statement Is x^8+x^4+1 irreducible over Q ?
  3. M

    Find all nonisomorphic abelian gps

    Sorry, I don's understand it.. Z_2^3 * Z_3 * Z_3* Z_5 == Z_8 * Z_9 * Z_5 Is this nonabelian groups of order 2^33^25 ??
  4. M

    Find all nonisomorphic abelian gps

    Homework Statement - List all nonisomorphic abelian groups of order 2^3 3^2 5 Homework Equations The Attempt at a Solution - Z_2^3 * Z_3^2 * Z_5 = (iso) Z_360. Z_2^3 * Z_3 * Z_3 * Z_5 = (iso) Z_3 * Z_100 . . . I know , but why Z_360 , Z_3 * Z_100 are nonisomorphic to 2^3...