An Introduction to Homological Algebra

Joseph J. Rotman, A. I. t. H. A. (2009). An Introduction to Homological Algebra. Springer.

Type

Book

Intellectual base

Textbook

Year

2009

DOI

10.1007/b98977

ISBN

9780387245270

Link

https://doi.org/10.1007/b98977

Cited by

3 citations across 3 artifacts.

Domain-specific

• Cokernel
  • … input morphism, candidate quotient map, vanishing composite, universal factorization and uniqueness, existence assumptions, and concrete image quotient where applicable are explicit. to An applied instance preserves the same invariant under a changed scale, notation, jurisdiction, dataset, or implementation..
• Five lemma
  • The entry states the classical comparison lemma and carefully qualified variants; it does not treat every categorical diagram as elementwise or every balanced conclusion as automatic.
• Five-term exact sequence
  • … that the spectral sequence convention and quadrant, E2 page, abutment and convergence, filtration, edge maps, differential and exactness at each of the five named terms are explicit. to An applied instance preserves the same invariant under a changed scale, notation, jurisdiction, dataset, or implementation..

Verification

This reference passed the adversarial substantiation pipeline: it was checked to exist and to support the claim it is attached to. See how references were verified.

Registry ID ref:d8fd4ad534ad · see in the full table