29 citations · 187 across the 52 of their papers we have counts for
6 papers · 1 filter
Limits via relations
Sergei O. Ivanov, Roman Mikhailov, Fedor Pavutnitskiy
In this paper, we study operations on functors in the category of abelian groups simplar to the derivation in the sense of Dold-Puppe. They are defined as derived limits of a funct…
On homology of Lie algebras over commutative rings
Sergei O. Ivanov, Fedor Pavutnitskiy, Vladislav Romanovskii +1
We study five different types of the homology of a Lie algebra over a commutative ring which are naturally isomorphic over fields. We show that they are not isomorphic over commuta…
Higher colimits, derived functors and homology
Sergei O. Ivanov, Roman Mikhailov, Vladimir Sosnilo
A theory of higher colimits over categories of free presentations is developed. It is shown that different homology functors such as Hoshcshild and cyclic homology of algebras over…
On Bousfield's problem for solvable groups of finite Prüfer rank
Sergei O. Ivanov
For a group and we denote by the -completion of We study the map where $(R,K)=(\mathbb Z,\…
On the Hochschild cohomology ring of the quaternion group of order eight in characteristic two
Alexander Ivanov, Sergei O. Ivanov, Yury Volkov +1
Let be an algebraically closed field of characteristic two and let be the quaternion group of order . We determine the Gerstenhaber Lie algebra structure and the Batal…
A higher limit approach to homology theories
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…