homological algebra en · NOUN
Meanings
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(uncountable) The branch of mathematics dealing with homology and in particular with homological functors and the algebraic structures they entail.
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:Homological algebra for our purposes consists of studying certain abelian groups Hⁿ(G,A) and H#95;n(G,A), known as the nth cohomology and homology groups of the group G with coefficients in the G-module A.
2002, C. R. Leedham-Green, S. McKay, The Structure of Groups of Prime Power Order, Oxford University Press, page 171: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:The development of homological algebra was closely intertwined with the emergence of category theory.
The notion of chain complex is central to homological algebra.
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Translations (3)
it algebra omologica (branch of algebra) · de homologische Algebra (branch of algebra) · pl algebra homologiczna (branch of algebra)