S. K. Kuklina, A. O. Likhacheva, Ya. N. Nuzhin, “On closeness of carpets of Lie type over commutative rings”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 3, 2015, 192

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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 3, Pages 192–196 (Mi timm1212)

This article is cited in 9 scientific papers (total in 9 papers)

On closeness of carpets of Lie type over commutative rings

S. K. Kuklina, A. O. Likhacheva, Ya. N. Nuzhin

Siberian Federal University, Krasnoyarsk

Full-text PDF (124 kB) Citations (9)

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Abstract: For a wide class of commutative rings, the existence of non-closed irreducible carpets of Lie type associated with any root system is proved.

Keywords: chevalley group over a commutative ring, carpet of additive subgroups, carpet subgroup.

Bibliographic databases:

Document Type: Article

UDC: 512.5

Language: Russian

Citation: S. K. Kuklina, A. O. Likhacheva, Ya. N. Nuzhin, “On closeness of carpets of Lie type over commutative rings”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 3, 2015, 192–196

Citation in format AMSBIB

\Bibitem{KukLikNuz15}

\by S.~K.~Kuklina, A.~O.~Likhacheva, Ya.~N.~Nuzhin

\paper On closeness of carpets of Lie type over commutative rings

\serial Trudy Inst. Mat. i Mekh. UrO RAN

\yr 2015

\vol 21

\issue 3

\pages 192--196

\mathnet{http://mi.mathnet.ru/timm1212}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3468103}

\elib{https://elibrary.ru/item.asp?id=24156718}

Linking options:

https://www.mathnet.ru/eng/timm1212

https://www.mathnet.ru/eng/timm/v21/i3/p192

This publication is cited in the following 9 articles:

Elizaveta N. Troyanskaya, “To the question of the closure of the carpet”, Zhurn. SFU. Ser. Matem. i fiz., 17:5 (2024), 684–688
R. Yu. Dryaeva, V. A. Koibaev, “Polnye i elementarnye seti nad polem chastnykh koltsa s QR-svoistvom”, Tr. IMM UrO RAN, 30, no. 4, 2024, 77–83
A. O. Likhacheva, “O neprivodimykh kovrakh additivnykh podgrupp tipa $F_4$ ”, Vladikavk. matem. zhurn., 25:2 (2023), 117–123
V. A. Koibaev, “Closed elementary nets over a field of characteristic 0”, Siberian Math. J., 62:2 (2021), 262–266
S. K. Franchuk, “O neprivodimykh kovrakh additivnykh podgrupp tipa $G_2$ nad polyami kharakteristiki $p>0$ ”, Vladikavk. matem. zhurn., 22:1 (2020), 78–84
S. K. Franchuk, “O neprivodimykh kovrakh additivnykh podgrupp tipa $G_2$ ”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 27 (2019), 80–86
R. Y. Dryaeva, V. A. Koibaev, Ya. N. Nuzhin, “Full and elementary nets over the quotient field of a principal ideal ring”, J. Math. Sci. (N. Y.), 234:2 (2018), 141–147
V. A. Koibaev, S. K. Kuklina, A. O. Likhacheva, Ya. N. Nuzhin, “Subgroups, of Chevalley Groups over a Locally Finite Field, Defined by a Family of Additive Subgroups”, Math. Notes, 102:6 (2017), 792–798
V. A. Koibaev, Ya. N. Nuzhin, “ $k$ -invariant nets over an algebraic extension of a field $k$ ”, Siberian Math. J., 58:1 (2017), 109–112

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Trudy Instituta Matematiki i Mekhaniki UrO RAN

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