= 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
Posted: Wed May 11, 2022 10:44 pm
= 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]