Addition Modulo

Verify (i) closure property (ii) commutative property (iii) associative property (iv) existence of identity and (v) existence of inverse for the operation +_(5) on ZZ_5 using table corresponding to addition modulo 5.

Multiplication modulo

Find the inverse of 5 under multiplication modulo 11 on Z_(11) .

Find the inverse of 5 under multiplication modulo 11 on Z_(11) .

Construct the composition table for the binary operation multiplication modulo 5(xx_(5)) on the set A={0,1,2,3,4} .

In the group G = {2, 4, 6, 8} under multiplication modulo 10, the identy element is

Prepare the composition table for multiplication modulo 6 (xx_(6)) on A={0,1,2,3,4,5}.