Recollements of derived categories II: Algebraic K-theory

• Published in: arXiv.org
• Main Authors: Chen, Hongxing, Changchang Xi
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 20.05.2014
• Subjects: Algebra; Group theory; Homology; Rings (mathematics); Tensors

For a recollement of derived module categories of rings, we provide sufficient conditions to guarantee the additivity formula of higher algebraic K-groups of the rings involved, and establish a long Mayer-Vietoris exact sequence of higher algebraic K-groups for homological exact contexts introduced...