A branch of mathematics for which symbols, usually letters of alphabet, represent numbers or people in a specified set and tend to be familiar with portray volumes and to express basic interactions that hold for several members of the ready.

A set as well as a pair of binary functions defined on set. Often, the set as well as the functions consist of an identity factor, plus the functions are commutative or associative.

something for calculation utilizing letters or any other signs to portray figures, with rules for manipulating these symbols.

the research of algebraic frameworks.

A universal algebra.

An algebraic framework composed of a module of a commutative ring alongside yet another binary procedure which bilinear.

A collection of subsets of a given ready, in a way that this collection contains the vacant ready, and also the collection is closed under unions and suits (and thereby also under intersections and differences).

one of many other kinds of mathematical construction.

That branch of mathematics which treats regarding the relations and properties of volume through letters and other symbols. It really is appropriate to those relations which are real of each variety of magnitude.

A treatise about this technology.

Formal math; the analysis of equations; the art of reasoning about relations, more especially quantitative relations, by the aid of a compact and very systematized notation.

Any special system of notation adapted to your research of a special system of relationship: as, “it is an algebra upon an algebra,” Sylvester.

## How would you define algebra?