chain complex

noun

A sequence of Abelian groups (or modules), together with a sequence of homomorphisms (called boundary homomorphisms) between consecutive groups, such that the image of one homomorphism is contained in the kernel of the next.

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Meanings

nounchain complex (plural chain complexes)

plural chain complexes

  1. algebraic topologyA sequence of Abelian groups (or modules), together with a sequence of homomorphisms (called boundary homomorphisms) between consecutive groups, such that the image of one homomorphism is contained in the kernel of the next.

Translations

Polish kompleks łańcuchowy
  • kompleks łańcuchowysequence of Abelian groups...
Spanish complejo de cadenas
  • complejo de cadenassequence of Abelian groups...
Cite this entry
APA

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

MLA

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

Chicago

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

Source: chain complex on Wiktionary, CC BY-SA 4.0.