In [100]: A
Out[100]:
a
0 1
1 2
2 3
3 4
4 5
In [101]: B
Out[101]:
a
2 3
3 4
4 5
In [102]: A['Result'] = A['a'].isin(B['a'] ).replace( {False : None , True : 'correct' })
In [103]: A
Out[103]:
a Result
0 1 None
1 2 None
2 3 correct
3 4 correct
4 5 correct