algebra (EN)

noun

noun “algebra”

1. a part of mathematics where we use letters and symbols to represent numbers in equations and formulas to find unknown values
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   In algebra, we use letters like x and y to represent numbers we don't know yet.
2. a mathematical structure equipped with a bilinear product
   Complex numbers can be understood as an algebra over the field of real numbers.
3. (in set theory) a collection of subsets of a set that includes the empty set and is closed under union, intersection, complement and difference operations
   In set theory, an algebra of sets includes all possible unions and intersections of its subsets, as well as the empty set.