Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Let I and J be ideals of a ring R.Prove that I+J= <I∪J>, the ideal of R generated by I ∪ J.
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- If I, J are ideals of R, define I + J by I + J = {i + j | i E I, j E J} Prove that I + J is an ideal of R.arrow_forwardLet S = {a + bi | a, b e Z, b is even}. Show that S is a subring of Z[i], but not an ideal of Z[i].arrow_forwardConsider the ring R = 2Z and the ideal I = 24Z of R. Give a representative for each coset of I in R.arrow_forward
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