Let R, , O is a ring under two composion eand O äs followsü e i; = a + b + 1 and aOb = ab + a + b%3DV a, be R. The (0-element and the 1-element of(1,this ring are· (E} - 1 and 0(d) 0 and - 1(aj C and 1(c) i and 0

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Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter6: More On Rings

Section6.3: The Characteristic Of A Ring

Problem 14E

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Let R, , O is a ring under two composion e and O üs follows ü e i; = a + b + 1 and aOb = ab + a + b %3D V a, be R. The (0-element and the 1-element of (1, this ring are • (E} - 1 and 0 (d) 0 and - 1 (aj C :and 1 (c) i and 0