Question

With respect to relational algebra, which of the following operations are included from mathematical set theory?

a) Join
b) Intersection
c) Cartesian product
d) Project
Option:
a) (a) and (d)
b) (b) and (c)
c) (c) and (d)
d) (b) and (d)

Answer 1

The operations from relational algebra that are included from mathematical set theory are Intersection and Cartesian product, which correspond to the AND and the combinatory operations respectively in the context of databases.

Step-by-step explanation:

With respect to relational algebra, the operations included from mathematical set theory are Intersection and Cartesian product. The correct option is (b) (b) and (c). Intersection is a set operation that returns the common elements of two sets, representing the AND operation in a database context. A Cartesian product, on the other hand, combines all the tuples of one relation with all the tuples of another relation.

While Join and Project operations are fundamental in relational algebra, they are not directly borrowed from mathematical set theory. Join is used to combine related tuples from two relations, whereas Project is used to create a new relation with certain attributes from one relation, essentially 'projecting' onto a subset of its attributes.