None of the others.Suppose is a binary operation on a set S.Which statement best describes problem?Must have either an identity or a zero (if exists), but not both.Must only have at most one idempotent.An idempotent (if exists) must be either an identity or a zero.If it has an identity and a zero, then they must be the same element.LII

Given that * is a binary operation on a set S.

Answered: Suppose * is a binary operation on a…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.4: Binary Operations

Problem 15E: 15. Let be a binary operation on the non empty set . Prove that if contains an identity element...

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Suppose * is a binary operation on a set S. Which statement best describes problem?