abelian category

noun

A pre-abelian category such that all monomorphisms are kernels of some morphism, and all epimorphisms are cokernels of some morphism.

Meanings

nounabelian category (plural abelian categories)

plural abelian categories

  1. mathematicsA pre-abelian category such that all monomorphisms are kernels of some morphism, and all epimorphisms are cokernels of some morphism.
Cite this entry
APA

abelian category. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/abelian%20category

MLA

“abelian category.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/abelian%20category. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “abelian category,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/abelian%20category.

Source: abelian category on Wiktionary, CC BY-SA 4.0.