connecting homomorphism

noun

The homomorphism constructed by the snake lemma, leading to a particular exact sequence of kernels and cokernels.

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Meanings

nounconnecting homomorphism (plural connecting homomorphisms)

plural connecting homomorphisms

  1. homological algebraThe homomorphism constructed by the snake lemma, leading to a particular exact sequence of kernels and cokernels.
    1. homological algebraalgebraic topologySuch a homomorphism in the context of exact sequences of chain complexes, leading to a long exact sequence of homology groups.
Cite this entry
APA

connecting homomorphism. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/connecting%20homomorphism

MLA

“connecting homomorphism.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/connecting%20homomorphism. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “connecting homomorphism,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/connecting%20homomorphism.

Source: connecting homomorphism on Wiktionary, CC BY-SA 4.0.