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.

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Meanings

adjectiveselfdistributive (not comparable)
  1. not comparablemathematicsHaving 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.

    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
    1 more example

    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

Origin

From self- + distributive.

Full word history & related roots →
Cite this entry
APA

selfdistributive. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/selfdistributive

MLA

“selfdistributive.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/selfdistributive. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “selfdistributive,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/selfdistributive.

Source: selfdistributive on Wiktionary, CC BY-SA 4.0.