Homological stabilization for dedekind rings of the arithmetic type

• Datum: 2012
• Hauptverfasser: Zainalov, B. R., Suslin, A. A., Зайналов, Б. Р., Суслин, А. А.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2012
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2673
• Назва журналу: 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...