Groupoids and Semigroups

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This is a 10-item quiz that checks your basic understanding of groupoid and semigroup concepts. It’s a fun and simple way to review sets, operations, and math rules!

Créé par

Jhasmin Tablang

Philippines

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Groupoids and Semigroups


Groupoids and SemigroupsVersion en ligne This is a 10-item quiz that checks your basic understanding of groupoid and semigroup concepts. It’s a fun and simple way to review sets, operations, and math rules! par Jhasmin Tablang 1 Which of the following best defines a Groupoid? a A set with a binary operation that is associative and has an identity element b A set with a binary operation that is associative and invertible. c A set with a binary operation that is closed. d A set with a binary operation defined on only some pairs of elements. 2 What is the key property that defines a groupoid? a Associative Property b Commutative Property c Closure Property d Identity Property 3 Which statement is true about groupoids? a They can have undefined combinations. b They have an identity element c They are commutative d They have no binary operations 4 What is the key property that defines a semigroup? a Associative Property b Commutative Property c Closure Property d Inverse Property 5 Which of the following statements is true about all semigroups? a Every semigroup has an identity element b Every semigroup is a groupoid. c Every semigroup has inverse elements d Every semigroup is commutative 6 Which operation is associative? a Subtraction & Addition b Addition & Division c Division & Subtraction d Addition & Multiplication 7 Which set with an operation is NOT a semigroup? a Natural numbers under subtraction b Natural numbers under addition c Whole numbers under multiplication d Positive Integers under addition 8 What does a binary operation do? a Combines two elements to make one result b It counts the elements c Removes elements from the set d Only works on numbers bigger than 10 9 If (2 + 3) + 4 = 2 + (3 + 4), what does this show? a Commutativity b Associativity c Closure d Inverses 10 What does “closure” mean in this context? a When you combine two elements, the result leaves the set. b You can’t combine certain elements together. c When you combine two elements, the result is still inside the set. d When you combine two elements, you always get a number bigger than before.

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Groupoids and Semigroups

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À propos de cette activité

Créé par

Téléchargez la version pour jouer sur papier

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Groupoids and SemigroupsVersion en ligne

par Jhasmin Tablang

Which of the following best defines a Groupoid?

What is the key property that defines a groupoid?

Which statement is true about groupoids?

What is the key property that defines a semigroup?

Which of the following statements is true about all semigroups?

Which operation is associative?

Which set with an operation is NOT a semigroup?

What does a binary operation do?

If (2 + 3) + 4 = 2 + (3 + 4), what does this show?

What does “closure” mean in this context?