Algebra (disambiguation)

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The word 'algebra' is used for various branches and structures of mathematics. For their overview, see Algebra.

The bare word "algebra"

The bare word "algebra" can mean:

In universal algebra, algebra has an axiomatic definition, roughly as an instance of any of a number of algebraic structures, such as groups, rings, etc.

Branches of mathematics

The term is also traditionally used for the field of:

Mathematical structures

Vector space with multiplication

Some notable algebras in this sense are:

See also coalgebra, the dual notion.

Other structures

A different class of "algebras" consists of objects which generalize logical connectives, sets, and lattices.

The term "algebra" can also describe more general structures:

Other

See also

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