A universal algebra.
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).
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.
A system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.
Any one of the numerous types of mathematical object studied in algebra and especially in universal algebra;
a mathematical object comprising a carrier set (aka underlying set or domain), an optional scalar set, a set of operations (typically binary operations, but otherwise each of finite arity) and a set of identities (axioms) which the operations must satisfy.