Urcohomologies and Cohomologies of N -ComplexesPortugaliae Mathematica
AbstractFor 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.
Copyright2010 European Mathematical Society.
Citation InformationNaoya 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/