Question

What is an algebra?

Answer 1

The part of mathematics in which letters and other symbols are used to represent numbers and quantities in formulae and equations.

Answer 2

What about structures?

Answer 3

What about operations between those mathematical objects?

Answer 4

what about it :p

Answer 5

that's not included in Lukecrayonz description of algebra :(

Answer 6

According to some random book I have, and Algebra can be considered as a vector space over a field, where there is an operation of "multiplication". The operation must be associative, distributive with respect to addition, and scalars from the field can roam freely throughout the multiplication.

Answer 7

an*

Answer 8

Dont think of it as a normal vector space though, because there is no such thing as "x*y" with regular vectors.

Answer 9

so in relational algebra our multiplication would be the cartesian product between two relations?