Meaning of homological algebra | Babel Free

Definitions

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

uncountable

Equivalents

Examples

“The notion of chain complex is central to homological algebra.”

“The development of homological algebra was closely intertwined with the emergence of category theory.”

“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.”

“A similar shift of interpretation of CT took place at about the same time in another context, namely homological algebra.”

“In Section 4.1, we shall introduce some minimal amount of homological algebra needed to launch singular homology.”

CEFR level