(5) (B) Consider the ring of integers Z and using the standard addition and multiplication of integers define the new operations as follows. a@b=a+b-1 and ab=a+b-ab for a, b € Z. Show that Z under these new operations forms an integral domain.

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(5) (B) Consider the ring of integers Z. and using the standard addition and multiplication of integers
define the new operations as follows.
ab=a+b-1 and ab=a+b-ab for a, b € Z.
Show that Z under these new operations forms an integral domain.
Transcribed Image Text:(5) (B) Consider the ring of integers Z. and using the standard addition and multiplication of integers define the new operations as follows. ab=a+b-1 and ab=a+b-ab for a, b € Z. Show that Z under these new operations forms an integral domain.
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