Sunday, 31 May 2009

ac.commutative algebra - Support sets along a ring homomorphism.

Let (R,m) and (S,n) be commutative noetherian local rings, and f:RrightarrowS be a local homomorphism (i.e., f(m)subseteqn) with S flat as R-module. If M is a finite generated R-module, then what is the relation between Supps(MotimesS) and SuppR(M)? Thanks in advance!

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