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Math Help - "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 \mathbb{R} is denoted by \mathbb{R}_0 (unnecessary). (ii) On \mathbb{R}_0\times\mathbb{R}_0 the following relation is defined (x_1,x_2)=(y_1,y_2)\Leftrightarrow x_1y_2=x_1y_1 (very bad notation, it should be for example (x_1,x_2)\sim(y_1,y_2)\Leftrightarrow x_1y_2=x_1y_1 . (iii) But the worst thing is that \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 \mathbb{R}_0=\mathbb{R}-\{0\} .
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