Word.ws English Dictionary

selfdistributive

selfdistributive adjective: 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.

Adjective

selfdistributive (not comparable)

  1. 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.
    • 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.2015, Camille Laurent-Gengoux, Friedrich Wagemann, “Lie rackoids”, in arXiv
    • The aim of this text is to survey some aspects of selfdistributive algebra, with a special emphasis on the involved word problems.2019, Petr Vojtěchovský, Murray R. Bremner, J. Scott Carter, Nonassociative Mathematics and its Applications, page 70

Origin of selfdistributive

From self- + distributive.

Questions about selfdistributive

What does selfdistributive mean?
Selfdistributive means 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.
What part of speech is selfdistributive?
Selfdistributive is an adjective.

Words near selfdistributive in the dictionary

  1. selfconsistently
  2. selfcontrol
  3. selfcontrols
  4. selfdetermined
  5. selfdirection
  6. selfdistributive
  7. selfdom
  8. selfdoms
  9. selfdual
  10. selfduals
  11. selfe

Source and license

Adapted from Wiktionary: selfdistributive (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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