Sergei O. Ivanov
Saint Petersburg State University
Network
Latest external collaboration on country level. Dive into details by clicking on the dots.
Publication
Featured researches published by Sergei O. Ivanov.
Journal of Pure and Applied Algebra | 2015
Sergei O. Ivanov; Roman Mikhailov
A lot of well-known functors such as group homology, cyclic homology of algebras can be described as limits of certain simply defined functors over categories of presentations. In this paper, we develop a technique for the description of the higher limits over categories of presentations and show that certain homological functors can be described in this way. In particular, we give a description of Hochschild homology and the derived functors of tensor, symmetric and exterior powers in the sense of Dold and Puppe as higher limits.
Journal of Algebra | 2014
Sergei O. Ivanov; Yury Volkov
Abstract We give an equivalent definition of the stable Calabi–Yau dimension in terms of bimodule syzygies and so-called stably inner automorphisms. Using it, we complete the computation of the stable Calabi–Yau dimensions of the self-injective algebras of finite representation type which was started by K. Erdmann, A. Skowronski, J. Bialkowski and A. Dugas.
Israel Journal of Mathematics | 2018
Sergei O. Ivanov; Roman Mikhailov
In this paper, the Hℤ-length of different groups is studied. By definition, this is the length of the Hℤ-localization tower or the length of the transfinite lower central series of Hℤ-localization. It is proved that, for a free noncyclic group, its Hℤ-length is ≥ ω+2. For a large class of ℤ[C]-modules M, where C is an infinite cyclic group, it is proved that the Hℤ-length of the semi-direct product M ⋊ C is ≤ ω + 1 and its Hℤ-localization can be described as a central extension of its pro-nilpotent completion. In particular, this class covers modules M, such that M⋊C is finitely presented and H2(M ⋊ C) is finite.
Journal of Mathematical Sciences | 2010
Yu. V. Volkov; A. I. Generalov; Sergei O. Ivanov
Journal of Mathematical Sciences | 2012
Sergei O. Ivanov
Advances in Mathematics | 2016
Sergei O. Ivanov; Roman Mikhailov
Journal of Algebra | 2015
Alexander Ivanov; Sergei O. Ivanov; Yury Volkov; Guodong Zhou
Journal of Mathematical Sciences | 2013
Sergei O. Ivanov
arXiv: Group Theory | 2015
Sergei O. Ivanov; Roman Mikhailov
Journal of Mathematical Sciences | 2009
A. I. Generalov; Sergei O. Ivanov