About: Standard complex

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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 Samuel Eilenberg and Saunders Mac Lane and Henri Cartan and Eilenberg and has since been generalized in many ways. The name "bar complex" comes from the fact that used a vertical bar | as a shortened form of the tensor product in their notation for the complex.

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  • 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 Samuel Eilenberg and Saunders Mac Lane and Henri Cartan and Eilenberg and has since been generalized in many ways. The name "bar complex" comes from the fact that used a vertical bar | as a shortened form of the tensor product in their notation for the complex. (en)
  • 호몰로지 대수학에서 막대 복합체(막대複合體, 영어: bar complex 바 콤플렉스[*])는 가환환 위의 결합 대수에 대하여 정의되는 완전열이다.:§4 Tor 함자와 Ext 함자 등을 계산할 때 쓰인다. (ko)
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  • 31594198 (xsd:integer)
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  • 2884 (xsd:nonNegativeInteger)
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  • 1092620138 (xsd:integer)
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dbp:author1Link
  • Henri Cartan (en)
  • Samuel Eilenberg (en)
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  • Saunders Mac Lane (en)
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  • Samuel (en)
  • Saunders (en)
  • Henri (en)
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  • Cartan (en)
  • Eilenberg (en)
  • Mac Lane (en)
dbp:loc
  • IX.6 (en)
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dbp:year
  • 1953 (xsd:integer)
  • 1956 (xsd:integer)
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  • 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 Samuel Eilenberg and Saunders Mac Lane and Henri Cartan and Eilenberg and has since been generalized in many ways. The name "bar complex" comes from the fact that used a vertical bar | as a shortened form of the tensor product in their notation for the complex. (en)
  • 호몰로지 대수학에서 막대 복합체(막대複合體, 영어: bar complex 바 콤플렉스[*])는 가환환 위의 결합 대수에 대하여 정의되는 완전열이다.:§4 Tor 함자와 Ext 함자 등을 계산할 때 쓰인다. (ko)
rdfs:label
  • 막대 복합체 (ko)
  • Standard complex (en)
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