The identity element under `Annmu` of sets is………..

Identity element under Auuphi of sets is ………………….

The identity element under union of sets of …..

Identity element under intersection of sets is…..

The additive identity element in the set of integers is (a) 1 (b) -1 (c) 0 (d) none of these

The additive identity element in the set of integers is (a)1 (b) -1 (c) 0 (d) none of these

Let * be an associative binary operation on a set S with the identity element e in S. Then. the inverse of an invertible element is unique.

Let S be the set of positive rational numbers and is defined by a ** b=(ab)/2 . Then find the identity element and the inverse of 2.

Find the identity element in the set I^+ of all positive integers defined by a*b= a+b for all a ,\ b in I^+ .

Let P(A) b the power set of non-empty set A. A binary operation ** is defined on P(A) as X**Y=XcapY for all X,YinP(A) . Detemine the identity element In P(A). Prove that A is the only invertible element in P(A).