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In commutative algebra, the support of a module M over a commutative ring A is the set of all prime ideals p {\displaystyle {\mathfrak {p}}} of A such that M p ≠ 0 {\displaystyle M_{\mathfrak {p}}\neq 0} . It is denoted by Supp M {\displaystyle \operatorname {Supp} M}. The support is, by definition, a subset of the spectrum of A.
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