homological algebra

Definitions

1. 1

   The branch of mathematics dealing with homology and in particular with homological…

   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.
   • 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.

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