V. M. Buchstaber, E. G. Rees, “Multivalued groups and Hopf $n$-algebras”, Russian Math. Surveys, 51:4 (1996), 727

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Russian Mathematical Surveys, 1996, Volume 51, Issue 4, Pages 727–729
DOI: https://doi.org/10.1070/RM1996v051n04ABEH002976 (Mi rm998)

This article is cited in 17 scientific papers (total in 18 papers)

In the Moscow Mathematical Society
Communications of the Moscow Mathematical Society

Multivalued groups and Hopf

$n$ -algebras

V. M. Buchstaber^a, E. G. Rees^b

^a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
^b University of Edinburgh

English version PDF (168 kB) Citations (18) Russian version article

References:

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DOI: https://doi.org/10.1070/RM1996v051n04ABEH002976

Accepted: 17.07.1996

Bibliographic databases:

Document Type: Article

MSC: 13A50, 16W30, 20K30

Language: English

Original paper language: Russian

Citation: V. M. Buchstaber, E. G. Rees, “Multivalued groups and Hopf

$n$ -algebras”, Russian Math. Surveys, 51:4 (1996), 727–729

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/rm998

https://doi.org/10.1070/RM1996v051n04ABEH002976

https://www.mathnet.ru/eng/rm/v51/i4/p149

This publication is cited in the following 18 articles:

V. G. Bardakov, T. A. Kozlovskaya, D. V. Talalaev, “ $n$ -valued quandles and associated bialgebras”, Theoret. and Math. Phys., 220:1 (2024), 1080–1096
V. G. Bardakov, D. V. Talalaev, “Extensions of Yang–Baxter sets”, Theoret. and Math. Phys., 215:2 (2023), 609–621
H. Khudaverdian, Th. Voronov, Contemporary Mathematics, 789, The Diverse World of PDEs, 2023, 131
V. M. Buchstaber, A. P. Veselov, A. A. Gaifullin, “Classification of involutive commutative two-valued groups”, Russian Math. Surveys, 77:4 (2022), 651–727
D. V. Gugnin, “Any Suspension and Any Homology Sphere Are $2H$ -Spaces”, Proc. Steklov Inst. Math., 318 (2022), 45–58
V. M. Buchstaber, A. P. Veselov, “Conway topograph, $\mathrm{PGL}_2(\pmb{\mathbb Z})$ -dynamics and two-valued groups”, Russian Math. Surveys, 74:3 (2019), 387–430
D. V. Gugnin, “Lower Bounds for the Degree of a Branched Covering of a Manifold”, Math. Notes, 103:2 (2018), 187–195
H. M. Khudaverdian, T. T. Voronov, “A short proof of the Buchstaber-Rees theorem”, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 369:1939 (2011), 1334
D. V. Gugnin, “Topological applications of graded Frobenius $n$ -homomorphisms”, Trans. Moscow Math. Soc., 72 (2011), 97–142
P. V. Yagodovsky, “Duality in the theory of finite commutative multivalued groups”, J. Math. Sci. (N. Y.), 174:1 (2011), 97–119
V. M. Buchstaber, “ $n$ -valued groups: theory and applications”, Mosc. Math. J., 6:1 (2006), 57–84
P. V. Yagodovskii, “ $\sigma$ -Extensions of discrete multivalued groups”, J. Math. Sci. (N. Y.), 138:3 (2006), 5753–5761
D. V. Gugnin, “On continuous and irreducible Frobenius $n$ -homomorphisms”, Russian Math. Surveys, 60:5 (2005), 967–969
A. A. Bolibrukh, A. P. Veselov, A. B. Zhizhchenko, I. M. Krichever, A. A. Mal'tsev, S. P. Novikov, T. E. Panov, Yu. M. Smirnov, “Viktor Matveevich Buchstaber (on his 60th birthday)”, Russian Math. Surveys, 58:3 (2003), 627–635
P. V. Yagodovskii, “Linear deformations of discrete groups and constructions of multivalued groups”, Izv. Math., 64:5 (2000), 1065–1089
V. M. Buchstaber, E. G. Rees, “Frobenius $k$ -characters and $n$ -ring homomorphisms”, Russian Math. Surveys, 52:2 (1997), 398–399
P. V. Yagodovskii, “Deformations of multivalued groups”, Russian Math. Surveys, 52:3 (1997), 623–624
V. M. Buchstaber, V. Z. Ènol'skii, “Explicit Algebraic Description of Hyperelliptic Jacobians on the Basis of the Klein $\sigma$ -Functions”, Funct. Anal. Appl., 30:1 (1996), 44–47

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References:	88
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