Sudhanshu ranjan Asked a Question
August 15, 2020 10:13 pmpts 30 pts
Let R be the ring of all continuous function from [O,1] into the real field. Show that M = { f | f(0)= 0 } is maximal ideal of R. But M is not maximal ideal if real field is replaced by Integers
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  • Anonymous User Best Answer
    see the attachments.
    • cropped1961496777444304799.jpg
    • cropped5840376905108858720.jpg
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  • Anonymous User thankyou
    Suppose real field is replaced by Integers. then the quoteint ring, being isomorphic to Z, is integral domain but not a field. As a result M is just a prime ideal but not maximal i...
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