Universal coefficient theorem in triangulated categories
范畴论
2010-11-01 v3
摘要
Let T be a triangulated category, A a graded abelian category and h: T -> A a homology theory on T with values in A. If the functor h reflects isomorphisms, is full and is such that for any object x in A there is an object X in T with an isomorphism between h(X) and x, we prove that A is a hereditary abelian category and the ideal Ker(h) is a square zero ideal which as a bifunctor on T is isomorphic to Ext^1_A(h(-)[1], h(-)).
引用
@article{arxiv.math/0604412,
title = {Universal coefficient theorem in triangulated categories},
author = {Teimuraz Pirashvili and Maria Julia Redondo},
journal= {arXiv preprint arXiv:math/0604412},
year = {2010}
}
备注
Final version, to appear in Algebras and Representation Theory