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    Ideals and Factor Rings

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    Note: | | is trying to denote a matrix

    If R =

    |S S|
    |0 S|

    and A =

    |0 S|
    |0 0|

    , S and ring, show that A is an ideal of R and describe the cosets in R/A

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    Solution Summary

    A matrix proof is offered involving rings.