An Introduction to Homological Algebra

Rotman, J. J. (2009). An Introduction to Homological Algebra. Springer.

Type

Book

Intellectual base

Textbook

Year

2009

DOI

10.1007/b98977

ISBN

9780387245270

DOI registrant

Springer Nature

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

Does it exist? Confirmed. This work's DOI resolves to a registered record, which fixes its identity. That is all it fixes.

Does it back the claim? Not recorded. Neither this nor any other of the 3 citations of this work carries a recorded support check.

Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.

See how references were verified.

Registry ID ref:d8fd4ad534ad · see in the full table