Word.ws English Dictionary

homological algebra

homological algebra noun: the branch of mathematics dealing with homology and in particular with homological functors and the algebraic structures they entail.

Noun

homological algebra (uncountable)

  1. The branch of mathematics dealing with homology and in particular with homological functors and the algebraic structures they entail.
    • The notion of chain complex is central to homological algebra.
    • The development of homological algebra was closely intertwined with the emergence of category theory.

Examples of homological algebra in a sentence

  • A similar shift of interpretation of CT took place at about the same time in another context, namely homological algebra.2007, Ralph Krömer, Tool and Object: A History and Philosophy of Category Theory, Springer (Birkhäuser), page 93:
  • In Section 4.1, we shall introduce some minimal amount of homological algebra needed to launch singular homology.2014, Anant R. Shastri, Basic Algebraic Topology, Taylor & Francis (CRC Press / Chapman & Hall), page 169:

Questions about homological algebra

What does homological algebra mean?
Homological algebra means the branch of mathematics dealing with homology and in particular with homological functors and the algebraic structures they entail.
How do you use homological algebra in a sentence?
A similar shift of interpretation of CT took place at about the same time in another context, namely homological algebra.
What part of speech is homological algebra?
Homological algebra is a noun.

Words near homological algebra in the dictionary

  1. homologations
  2. homologen
  3. homologens
  4. homologic
  5. homological
  6. homological algebra
  7. homologically
  8. homologies
  9. homologisation
  10. homologisations
  11. homologise

Source and license

Adapted from Wiktionary: homological algebra (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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