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Thread: "Field"

  1. #1
    Member kjchauhan's Avatar
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    "Field"

    Please help ..

    Thanks in advance....
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Re: "Field"

    Several things: (i) The set $\displaystyle \mathbb{R}$ is denoted by $\displaystyle \mathbb{R}_0$ (unnecessary). (ii) On $\displaystyle \mathbb{R}_0\times\mathbb{R}_0$ the following relation is defined $\displaystyle (x_1,x_2)=(y_1,y_2)\Leftrightarrow x_1y_2=x_1y_1$ (very bad notation, it should be for example $\displaystyle (x_1,x_2)\sim(y_1,y_2)\Leftrightarrow x_1y_2=x_1y_1$ . (iii) But the worst thing is that $\displaystyle \sim$ is not an equivalence relation, so the given operations have no sense. Could you exactly transcribe the formulation of the problem?. Perhaps you forgot to say that $\displaystyle \mathbb{R}_0=\mathbb{R}-\{0\}$ .
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