selfdistributive

English

Etymology

From self- +‎ distributive.

Adjective

selfdistributive (not comparable)

1. (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.
   • 2015, Camille Laurent-Gengoux, Friedrich Wagemann, “Lie rackoids”, in arXiv‎^[1]:

     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.

   • 2019, Petr Vojtěchovský, Murray R. Bremner, J. Scott Carter, Nonassociative Mathematics and its Applications, page 70:

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