For R = {s, t, x, y}, define + and , making R into a ring, by
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(a) Using the associative and distributive laws, determine the entries for the missing spaces in the multiplication table.
(b) Is this ring commutative?
(c) Does it have a unity? How about units?
(d) Is the ring an integral domain or a field?
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a xx xt y xt xy t y x yt x tt xt tt t t s yy yt x yt yxs s ...View the full answer
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Related Book For 
Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
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