Word.ws English Dictionary

biequivalent

biequivalent adjective: both left equivalent and right equivalent; Having the property that there exists a pair of mappings M₁ (A->B) and M₂ (B->A) such that M₁M₂(A) is equivalent to applying the unity operator to A and M₂ M₁(B) is equivalent to applying the unity operator to B.

Adjective

biequivalent (not comparable)

  1. Both left equivalent and right equivalent; Having the property that there exists a pair of mappings M₁ (A->B) and M₂ (B->A) such that M₁M₂(A) is equivalent to applying the unity operator to A and M₂ M₁(B) is equivalent to applying the unity operator to B.
    • We define strict and weak duality involutions on 2-categories, and prove a coherence theorem that every bicategory with a weak duality involution is biequivalent to a 2-category with a strict duality involution.2016, Michael Shulman, “Contravariance through enrichment”, in arXiv
  2. Capable of replacing a bond formed by H₂ to any molecule.
    • This is chloride of ammomium, in which 2 atoms of hydrogen are displaced by the biequivalent atom of mercury.1876, John Forbes Royle, John Harley, Royle's Manual of Materia Medica and Therapeutics

Origin of biequivalent

From bi- + equivalent.

Questions about biequivalent

What does biequivalent mean?
Biequivalent means both left equivalent and right equivalent; Having the property that there exists a pair of mappings M₁ (A->B) and M₂ (B->A) such that M₁M₂(A) is equivalent to applying the unity operator to A and M₂ M₁(B) is equivalent to applying the unity operator to B.
What part of speech is biequivalent?
Biequivalent is an adjective.

Words near biequivalent in the dictionary

  1. Bienville Parish
  2. bienzymatic
  3. biepicondilar
  4. biepicondylar
  5. biepitaxial
  6. biequivalent
  7. bier
  8. Bier spot
  9. Bier spots
  10. bierbalk
  11. bierbalks

Source and license

Adapted from Wiktionary: biequivalent (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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