Question: 1 Marks: 5
Let I, J and K are ideals in ring R. Show that .
Question: 2 Marks: 5
Show that the binary operation * defined on by is a group.
Question: 3 Marks: 5
Show that defined by for all is a ring homomorphism. Find . Determine whether it is an isomorphism or not? If it is not isomorphism than give reason.
Question: 4 Marks: 5
Let I, J be an ideal in R. Show that if then .
Question: 5 Marks: 5
Question: 6 Marks: 5
Consider the ideals . Calculate the minimal set of generators for ideals
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