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Sudhanshu Ranjan posted an Question
August 16, 2020 • 06:40 am 30 points
  • CSIR NET
  • Mathematical Sciences

Do every integral domain has universal side divisiors?

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  • Shashi ranjan sinha Best Answer

    Universal side divisiors are nonzero, non unit element (if exists) of the integral domain R. Take R = field. Then R is integral domain whose each non zero element is a unit. Thus, R doesn't have any element which is nonzero as well as non unit and hence cannot have universal side divisiors

  • Shashi ranjan sinha best-answer

    No, it is not necessary that every integral domain has universal side divisiors.

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