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Eight Lemma


EightLemma

If, in the above commutative diagram of modules and module homomorphisms the columns and two upper rows are exact, then so is the bottom row.


See also

Four Lemma, Five Lemma, Nine Lemma

This entry contributed by Margherita Barile

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References

Strooker, J. R. "The Eight-Lemma." §2.6.7 in Introduction to Categories, Homological Algebra and Sheaf Cohomology Cambridge, England: Cambridge University Press, pp. 99-101, 1978.

Referenced on Wolfram|Alpha

Eight Lemma

Cite this as:

Barile, Margherita. "Eight Lemma." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/EightLemma.html

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