exact sequence

noun

A sequence of modules (or groups, vector spaces, etc.; most generally, objects of an abelian category) with adjacent objects connected by homomorphisms (generally, morphisms) such that the image of one homomorphism is the kernel of the next.

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Meanings

nounexact sequence (plural exact sequences)

plural exact sequences

  1. algebraA sequence of modules (or groups, vector spaces, etc.; most generally, objects of an abelian category) with adjacent objects connected by homomorphisms (generally, morphisms) such that the image of one homomorphism is the kernel of the next.
Cite this entry
APA

exact sequence. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/exact%20sequence

MLA

“exact sequence.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/exact%20sequence. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “exact sequence,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/exact%20sequence.

Source: exact sequence on Wiktionary, CC BY-SA 4.0.