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Questions and Answers
Which of the following is NOT one of the three conditions that define a group?
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.
The set of integers under the addition operation forms a group.
True (A)
What is the definition of a binary operation?
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.
A set is a collection of well-defined things, objects or elements represented using a _________ letter.
Match the terms with their definitions:
Match the terms with their definitions:
Flashcards
Group in Math
Group in Math
A set with an operation that combines two elements to create a third, where the operation is associative, has an identity element, and every element has an inverse.
Group Axioms
Group Axioms
The conditions (associative, identity, inverse) that must hold for a set and operation to form a group.
Set
Set
A collection of well-defined objects, consistently recognized by everyone.
Binary Operation
Binary Operation
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Associative Property
Associative Property
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