Homological stabilization for dedekind rings of the arithmetic type

• Date: 2012
• Main Authors: Zainalov, B. R., Suslin, A. A., Зайналов, Б. Р., Суслин, А. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2012
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2673
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study the problem of stabilization in the higher $K$ -theory of rings and improved stabilization. The triviality of the group of standard cycles is established in the case of arithmetic-type rings. Some applications of the obtained results to the problem of homological stabilization are presented...