Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Sergei O. Ivanov"'
Publikováno v:
Sbornik: Mathematics. 211:1568-1591
For a strongly connected category $\mathcal C$ with pair-wise coproducts, we introduce a cosimplicial object, which serves as a sort of resolution for computing higher derived functors of ${\sf lim} : \mathrm{Ab}^{\mathcal C}\to \mathrm{Ab}$. Applica
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b20697e21d56a0b88e0c1063b5ae949b
https://doi.org/10.1070/sm9348
https://doi.org/10.1070/sm9348
Publikováno v:
Journal of Algebra. 560:1092-1106
In this paper, an explicit construction of a countable parafree Lie algebra over $\mathbb Z/2$ with nonzero second homology is given. It is also shown that the cohomological dimension of the pronilpotent completion of a free noncyclic finitely genera
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::977ed384878247d5fd8b9f8aabf959dc
https://doi.org/10.1016/j.jalgebra.2020.05.031
https://doi.org/10.1016/j.jalgebra.2020.05.031
Publikováno v:
Математический сборник. 211:72-95
Для сильно связной категории $\mathscr C$ с попарными копроизведениями определен косимплициальный объект, служащий своего рода резольвенто
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2212293dcb1aaee578bba912305f4194
https://doi.org/10.4213/sm9348
https://doi.org/10.4213/sm9348
Autor:
Sergei O. Ivanov
We give an overview of five rationalization theories for spaces (Bousfield-Kan's $\mathbb Q$-completion; Sullivan's rationalization; Bousfield's homology rationalization; Casacuberta-Peschke's $\Omega$-rationalization; G\'{o}mez-Tato-Halperin-Tanr\'{
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::62377b0e5541be2bf087d0e962c94648
http://arxiv.org/abs/2111.10694
http://arxiv.org/abs/2111.10694
Publikováno v:
Sbornik: Mathematics. 210:1222-1258
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 a field of characteristic zero, simplicial derived functors, and grou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d49b5a5257af31dfdb0e51a3c2d88fcc
https://doi.org/10.1070/sm9152
https://doi.org/10.1070/sm9152
Publikováno v:
Математический сборник. 210:19-58
Развита теория высших копределов по категориям копредставлений. Показано, что различные гомологические функторы такие, как хохшильдов
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0172734d95a37070d9668b1ef5c5387b
https://doi.org/10.4213/sm9152
https://doi.org/10.4213/sm9152
Autor:
Sergei O. Ivanov, Roman Mikhailov
We prove that for a subring $R\subseteq \mathbb Q$ and a free group $F$ of rank at least $2$ the length of the Bousfield's $HR$-localization tower for $F$ is at least $\omega+\omega$. The key ingredient of the proof is the theory of polynomial functo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c731419684c572baccbf8f88c0638c29
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 commutative rings, even over Z , and study connections between them. In parti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c3c5a90b1abc0f801aeb4a3cd595fb56
http://arxiv.org/abs/2010.00369
http://arxiv.org/abs/2010.00369
Autor:
Sergei O. Ivanov, Roman Mikhailov
Publikováno v:
Israel Journal of Mathematics. 226:635-683
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,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::770fe929dd008116ed1a8f7bf11f1d5e
https://doi.org/10.1007/s11856-018-1697-x
https://doi.org/10.1007/s11856-018-1697-x
Autor:
Sergei O. Ivanov
Publikováno v:
Journal of Algebra. 501:473-502
For a group G and R = Z , Z / p , Q we denote by G ˆ R the R-completion of G. We study the map H n ( G , K ) → H n ( G ˆ R , K ) , where ( R , K ) = ( Z , Z / p ) , ( Z / p , Z / p ) , ( Q , Q ) . We prove that H 2 ( G , K ) → H 2 ( G ˆ R , K
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::44fe64599e64feb8f1735ee8ddce950f
https://doi.org/10.1016/j.jalgebra.2018.01.016
https://doi.org/10.1016/j.jalgebra.2018.01.016