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In mathematics, a diagram algebra is an
algebraic structure In mathematics, an algebraic structure consists of a nonempty set ''A'' (called the underlying set, carrier set or domain), a collection of operations on ''A'' (typically binary operations such as addition and multiplication), and a finite set ...
in which operations are performed using diagrams rather than traditional techniques. In particular, diagrammatic equations can be constructed and manipulated. Usually such algebras have a traditional counterpart which is categorically equivalent. Algebras Diagrams