Standard complex

In mathematics, the standard complex, also called standard resolution, bar resolution, bar complex, bar construction, is a way of constructing resolutions in homological algebra. It was first introduced for the special case of algebras over a commutative ring by Eilenberg & Mac Lane (1953) and Cartan & Eilenberg (1956, IX.6) and has since been generalized in many ways.

单词	Bar resolution
释义	Bar resolution 英语百科 Standard complex In mathematics, the standard complex, also called standard resolution, bar resolution, bar complex, bar construction, is a way of constructing resolutions in homological algebra. It was first introduced for the special case of algebras over a commutative ring by Eilenberg & Mac Lane (1953) and Cartan & Eilenberg (1956, IX.6) and has since been generalized in many ways.
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Bar resolution

Standard complex