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    Feb 2012
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    Let f:R→R ́ be a ring homo. Onto prove that 1
    I is a prime ideal of R with ker⁡〖f 〗⊆I ⇒f(I) is a prime ideal of R' ́.
    J is a prime ideal of R ́⇒ f^(-1) (J) is a prime ideal of R .

    Let R be com. Ring with unity if every ideal of R is a prime ideal prove that
    R is a field .

    [/SIZE]
    ; 12-05-2013 11:08 PM

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