B. Sc. III Paper X (Abstract Algebra) Unit Test I

Name of the Student

Roll Number

Q.1 A non empty set A is termed as an algebraic structure --------

• with respect to binary operation *
• with respect to binary operation ?
• with respect to binary operation +
• with respect to binary operation -

Q.2 A group (G, *) is said to be an abelian group if --------

• x+y = y+x
• x*y = y*x
• x+y = x
• y*x = x+y

Q.3 A cyclic group is always --------

• abelian group
• monoid
• semigroup
• subgroup

Q.4

• semigroup
• subgroup
• cyclic group
• abelian group

Q.5

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Q.6

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Q.7

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Q.8

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