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Urcohomologies and cohomologies of \(N\)-complexes

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Publication:616630
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DOI10.4171/PM/1875zbMath1228.18011MaRDI QIDQ616630

Naoya Hiramatsu, Goro C. Kato

Publication date: 12 January 2011

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)


zbMATH Keywords

\(N\)-complex\(N\)-exactnesscomplexifying functorurcohomology.


Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Cohomology theory for linear algebraic groups (20G10) Chain complexes (category-theoretic aspects), dg categories (18G35)


Related Items

Gorenstein cohomology of N-complexes



Cites Work

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  • Cohomology of sheaves
  • \(d^N=0\): Generalized homology
  • Homogeneous algebras.
  • \({\mathsf{N}}\)-complexes as functors, amplitude cohomology and fusion rules
  • Tensor product of N-complexes and generalization of graded differential algebras
  • Homological Algebra on a Complete Intersection, with an Application to Group Representations
  • Categories and Sheaves
  • The Heart of Cohomology
  • Homological algebra of \(N\)-complexes and Hochschild homology of roots of unity
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