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Thread: Associates in a ring

  1. #1
    Member kjchauhan's Avatar
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    Associates in a ring

    Please help me to solve this problem...

    Associates in a ring-img_20180321_093422.jpg

    Thank you very much in advance
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  2. #2
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    Re: Associates in a ring

    what is $J_6$ ?
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    Re: Associates in a ring

    Please define both $\large \overline{~4~}~\&~\mathcal{J}_6$
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    Re: Associates in a ring

    I assume $J$ is the set of integers and $J_6$ is the ring of integers modulo 6. (My first group theory text used $J$ to denote the integers.) In $J_6$, 2 divides 4 ($4=2\cdot2$) and 4 divides 2 ($2=4\cdot 5$). So 2 is an associate of 4. Just test all remaining non-zero elements of $J_6$.
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    Re: Associates in a ring

    Quote Originally Posted by johng View Post
    I assume $J$ is the set of integers and $J_6$ is the ring of integers modulo 6. (My first group theory text used $J$ to denote the integers.).
    So was mine studying with M J Weiss, fifty years ago. BUT my point is: Why the h*ll should we have to guess(assume) anything?? Why not encourage posting complete problems with definitions? If the guess is incorrect the a lot of time is wasted.
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