Support sets along a ring homomorphism. - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-18T22:03:21Z http://mathoverflow.net/feeds/question/35187 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/35187/support-sets-along-a-ring-homomorphism Support sets along a ring homomorphism. TmobiusX 2010-08-11T02:40:23Z 2010-08-11T02:40:23Z <p>Let $(R,m)$ and $(S,n)$ be commutative noetherian local rings, and $f: R\rightarrow S$ be a local homomorphism (i.e., $f(m) \subseteq n$) with $S$ flat as $R$-module. If $M$ is a finite generated $R$-module, then what is the relation between $Supp_s(M\otimes S)$ and $Supp_R(M)$? Thanks in advance!</p>