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Webbp for the localization of k at p 2Spec(k) and M p:= M k p for the corresponding base change of M, the following conditions are equivalent (cf. e.g., [Bou72]). (i) Mis nitely generated projective. (ii) For all p 2Spec(k), the k p-module M p is free of nite rank. If in this case, the rank of the free k p-module M p does not depend on p 2Spec(k), then WebbAn A -modul P is callee d projective if it has the following property: given any homomorphis P intmo a hn o .4-modulf e N, and a homomorphism k of an .4-module M onto N, we can find a homomorphism h' of P into M such that h = kh'. We take as well known that P is projective if and only if there exists a module P' such that P + P' is a free module.
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WebbTranscribed Image Text: 26. A light inextensible cord is wrapped around a frictionless cylinder of radius R fixed vertically on a floor that is lubricated with oil. A bead of mass m is tied at one end of the cord and the other end P is … Webb16 juli 2024 · The p value is a number, calculated from a statistical test, that describes how likely you are to have found a particular set of observations if the null hypothesis were …
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