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Advance Math

Let R be a ring and f : M ?? N a morphism of left R-modules. Show that:

c) K := {m ? M | f(m) = 0} satisfies the Universal Property of Kernels.

d) N/f(M) satisfies the Universal Property of Cokernels.

 

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4.3 Ratings (686 Votes)
cSuppose that i K M the inclusionObserve that f o i x fx 0 for all x in KThus foi is the zero mapNow suppose that K is an Rmodule and g K M be a morphism such that f o g K N is the    See Answer
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