- 2 Let I A 0 A Z This Set I Is An Ideal Of Z Z A B La B E Z A Show That Ze Z I Is Isomorphic To 1 (12.18 KiB) Viewed 9 times
= 2. Let I = {(a,0) | a € Z}. This set I is an ideal of Z © Z = {(a,b) la, b e Z}. a) Show that Ze z/ I is isomorphic to
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= 2. Let I = {(a,0) | a € Z}. This set I is an ideal of Z © Z = {(a,b) la, b e Z}. a) Show that Ze z/ I is isomorphic to
= 2. Let I = {(a,0) | a € Z}. This set I is an ideal of Z © Z = {(a,b) la, b e Z}. a) Show that Ze z/ I is isomorphic to Z. [Hint: elements of this factor ring have the form (0,b) +1]
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