Selfdistributive

Quick meaning: Selfdistributive is an adjective meaning (mathematics) Having the property (of an operation) of being distributive with respect to itself. Thus, an operator ◦ is left selfdistributive iff x◦(y◦z) = (x◦y)◦(x◦z), and is right selfdistributive iff (x◦y)◦z = (x◦z)◦(y◦z), for all x, y, z.

Meaning

(mathematics) Having the property (of an operation) of being distributive with respect to itself. Thus, an operator ◦ is left selfdistributive iff x◦(y◦z) = (x◦y)◦(x◦z), and is right selfdistributive iff (x◦y)◦z = (x◦z)◦(y◦z), for all x, y, z.

Example Sentences

The aim of this text is to survey some aspects of selfdistributive algebra, with a special emphasis on the involved word problems.

Its main ingredient is a selfdistributive product on the manifold of bisections of a smooth precategory. We show that the tangent algebroid of a Lie rackoid is a Leibniz algebroid and that Lie groupoids gives rise via conjugation to a Lie rackoid.

Related Words

Related dictionary entries include distributive, semidistributive, additive, self-dual, self-adjoint, multiplicative.

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