A system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.
A system or process, that is like algebra by substituting one thing for another, or in using signs, symbols, etc., to represent concepts or ideas.
An algebraic structure consisting of a module over a commutative ring (or a vector space over a field) along with an additional binary operation that is bilinear over module (or vector) addition and scalar multiplication.
A collection of subsets of a given set, such that this collection contains the empty set, and the collection is closed under unions and complements (and thereby also under intersections and differences).
A universal algebra.
One of several other types of mathematical structure.
The study of algebraic structures.
The surgical treatment of a dislocated or fractured bone. Also (countable): a dislocation or fracture.
The process of computing the sum of a number with itself a specified number of times, or any other analogous binary operation that combines other mathematical objects.
The process of multiplying or increasing in number; increase.
A calculation involving multiplication.