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If R1 and R2 are two union compatible relations or functions, then the result of R3 = R1 ∩R2 is the relation that contains all tuples that are in both the relations In other words, R3will have tuples such that R3 = {t | R1 ∋ t ∧ R2 ∋ t}.
Example:
R1
A
B
A1
B1
A2
B2
A3
B3
A4
B4
R2
A7
B7
X
Y
R3 = R1 ∩ R2 is
Note: 1) Intersection is an associative operation, i.e., R1 ∩ (R2 ∩ R3) = (R1 ∩ R2) ∩ R3
2) Intersection is a commutative operation, i.e., R1 ∩ R2 = R2 ∩ R1
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It defines that no primary key value can be null. This is as the primary key is used to recognize individual tuple in the relation. So we will not be able to recognize the records
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