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.
A system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.
The act of making profitable use or application of anything, or the state of being profitably employed; practical application, for example of a doctrine, principle, or theory, stated in a discourse.
Increase; growth; progress; advance.
The act of improving; advancement or growth; a bettering
Something which is improved
Valuable additions or betterments, for example buildings, clearings, drains, fences, etc., on premises.
A useful addition to, or modification of, a machine, manufacture, or composition.
The state of being improved; betterment; advance