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Is the set of integers a group under the operation of subtration If.pdf

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shankaranilahuja

Is the set of integers a group under the operation of subtration? If so prove it, otherwise provide a counter example. Solution it is not a group , since it doesnot possess identity property a-0 != 0-a counter example let 1 be a integer 1-0 ! = 0-1 hence not a group.

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Is the set of integers a group under the operation of subtration? If so prove it, otherwise provide a counter example. Solution it is not a group , since it doesnot possess identity property a-0 != 0-a counter example let 1 be a integer 1-0 ! = 0-1 hence not a group

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Is the set of integers a group under the operation of subtration If.pdf

  • 1. Is the set of integers a group under the operation of subtration? If so prove it, otherwise provide a counter example. Solution it is not a group , since it doesnot possess identity property a-0 != 0-a counter example let 1 be a integer 1-0 ! = 0-1 hence not a group