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Urcohomologies and Cohomologies of N -Complexes
Portugaliae Mathematica
  • Naoya Hiramatsu, Okayama University
  • Goro Kato, California Polytechnic State University, San Luis Obispo
Publication Date
1-1-2010
Abstract
For a general sequence of objects and morphisms, we construct two N-complexes. Then we can define cohomologies (i, k)-type of the N-complexes not only on a diagonal region but also in the triangular region. We obtain an invariant defined on a general sequence of objects and morphisms. For a short exact sequence of N-complexes, we get the associated long exact sequence generalizing the classical long exact sequence. Lastly, several properties of the vanishing cohomologies of N-complexes are given.
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Citation Information
Naoya Hiramatsu and Goro Kato. "Urcohomologies and Cohomologies of N -Complexes" Portugaliae Mathematica Vol. 67 Iss. 4 (2010) p. 511 - 524
Available at: http://works.bepress.com/gkato/11/