Source: wikibot/hochschild-homology
= Hochschild homology
{wiki=Hochschild_homology}
Hochschild homology is an important concept in algebraic topology and homological algebra, often used to study algebraic structures, particularly associative algebras. It was introduced by Gerhard Hochschild in the 1940s. \#\#\# Definition and Construction Hochschild homology is typically defined for a unital associative algebra \\( A \\) over a field \\( k \\) (or more generally, over a commutative ring).