biequivalent

B3I1E1Q10U1I1V4A1L1E1N1T1

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.

Scrabble 26
Ask AI about this wordChatGPTClaudePerplexityGoogle AIGrok

Meanings

adjectivebiequivalent (not comparable)
  1. not comparablemathematicsBoth 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. not comparablechemistryCapable 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

From bi- + equivalent.

Full word history & related roots →
Cite this entry
APA

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

MLA

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

Chicago

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

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