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类域论的「类」是什么？ - 知乎 Weber的定义是由ideal class group出发的：选定一个fractional ideal, say m，定义以这个理想为modulus的generalized ideal group为所有relatively prime to 这个理想的fractional ideals，还可以定义其中相应的totally positive principal ideal (a b) 满足 1) (a) and (b) are relatively prime to m 2) a \equiv b (mod