The set of integers Z with the binary operation "1" defined as a*b =a +b+1 for a, b ∈ Z, is a group. The identity element of this group is

The set of integers Z with the binary operation "1" defined�

1.	The set of integers Z with the binary operation "1" defined as a*b =a +b+1 for a, b ∈ Z, is a group. The identity element of this group is
A.	0
B.	1
C.	-1
D.	12
Answer» D. 12

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The&nbsp;set&nbsp;of&nbsp;integers&nbsp;Z&nbsp;with&nbsp;the&nbsp;binary&nbsp;operation&nbsp;&quot;1&quot;&nbsp;defined&nbsp;as&nbsp;a*b&nbsp;=a&nbsp;+b+1&nbsp;for&nbsp;a,&nbsp;b&nbsp;&isin;&nbsp;Z,&nbsp;is&nbsp;a&nbsp;group.&nbsp;The&nbsp;identity&nbsp;element&nbsp;of&nbsp;this&nbsp;group&nbsp;is

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The set of integers Z with the binary operation "1" defined as a*b =a +b+1 for a, b ∈ Z, is a group. The identity element of this group is