Plz explain in detail A= {0, a, b, c} is a ring with four different elements having a multiplication table given in (a) and (b) below. Classify each ring with multiplicationtable in (a) and in (b).(a)(b)aaaaabbbbabab

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Answered: A= {0, a, b, c} is a ring with four…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.1: Definition Of A Ring

Problem 11E: Assume R is a ring with unity e. Prove Theorem 5.8: If aR has a multiplicative inverse, the...

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A= {0, a, b, c} is a ring with four different elements having a multiplication table given in (a) and (b) below. Classify each ring with multiplication table in (a) and in (b). (a) (b) b a a b a a a b a b a b