Title

Urcohomologies and Cohomologies of N -Complexes

Author Info

Naoya Hiramatsu, Okayama University
Goro Kato, California Polytechnic State University, San Luis ObispoFollow

Recommended Citation

Published in Portugaliae Mathematica, Volume 67, Issue 4, January 1, 2010, pages 511-524.

The definitive version is available at https://doi.org/10.4171/PM/1875.

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.

Disciplines

Mathematics

Copyright

2010 European Mathematical Society.