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Is the set of all integers closed under the operation of multiplication?
Yes.
Which set is closed under the given operation 1 integers under division 2 negative integers under subtraction 3 odd integers under multiplication?
1 No. 2 No. 3 Yes.
Is the set of all integers a group under multiplication?
No. The set does not include inverses.
Is the set of positive integers a commutative group under the operation of addition?
No. It is not a group.
Are negative integers closed under multiplication?
No.
Is the set of all integers closed under the operation of multiplication?
Yes.
Which set is closed under the given operation 1 integers under division 2 negative integers under subtraction 3 odd integers under multiplication?
1 No. 2 No. 3 Yes.
Is the set of all integers a group under multiplication?
No. The set does not include inverses.
Is the set of positive integers a commutative group under the operation of addition?
No. It is not a group.
Example of group is an abelian group?
The set of integers, under addition.
Why is a set of positive integers not a group under the operation of addition?
The set of positive integers does not contain the additive inverses of all but the identity. It is, therefore, not a group.
Why are the rational numbers under the operation of multiplication not a group?
I believe it is because 0 does not have an inverse element.
Are negative integers closed under multiplication?
No.
Is set of integers is a group under multiplication?
No. One of the group axioms is that each element must have an inverse element. This is not the case with integers. In other words, you can't solve an equation like: 5 times "n" = 1 in the set of integers.
How are the rules for multiplication and division integers the same?
They are not the same!The set of integers is closed under multiplication but not under division.Multiplication is commutative, division is not.Multiplication is associative, division is not.
Is set of integers closed under multiplication?
Yes!
Is the set of integers closed under multiplication?
Yes!
