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Abstract Algebra Basics

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Which of the following is NOT one of the three conditions that define a group?

Inverse element

Distributive property (correct)

Associativity

Identity element

The set of integers under the addition operation forms a group.

True (A)

What is the definition of a binary operation?

An operation that combines two elements of a set to produce another element of the same set.

A set is a collection of well-defined things, objects or elements represented using a _________ letter.

<p>capital</p> Signup and view all the answers

Match the terms with their definitions:

<p>Group = A set with an associative operation and identity element Binary Operation = An operation combining two elements to produce another Associativity = The order of operations does not change the result Identity Element = An element that does not change other elements under operation</p> Signup and view all the answers