7 citations · 8 across the 5 of their papers we have counts for
5 papers
A Note on the Non-Existence of Functors
Emmanuel Dror Farjoun, Sergei O. Ivanov, Aleksandr Krasilnikov +1
We consider several types of non-existence theorems for functors. For example, there are no nontrivial functors from the category of groups (or the category of pointed sets, or vec…
Quadric Hypersurface Intersection for Manifold Learning in Feature Space
Fedor Pavutnitskiy, Sergei O. Ivanov, Evgeny Abramov +5
The knowledge that data lies close to a particular submanifold of the ambient Euclidean space may be useful in a number of ways. For instance, one may want to automatically mark an…
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…
Homological properties of parafree Lie algebras
Sergei O. Ivanov, Roman Mikhailov, Anatoly Zaikovski
In this paper, an explicit construction of a countable parafree Lie algebra over with nonzero second homology is given. It is also shown that the cohomological dimens…
Mod-2 (co)homology of an abelian group
Sergei O. Ivanov, Anatolii Zaikovskii
It is known that for a prime there is the following natural description of the homology algebra of an abelian group and fo…