M. A. Alekseyev, L. Yu. Glebskii, E. I. Gordon, “On approximations of the groups, group actions and Hopf algebras”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part III, Zap. Nauchn. Sem. POMI, 256, POMI, St. Petersburg, 1999, 224–262; J. Math. Sci. (New York), 107:5 (2001), 4305

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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 256, Pages 224–262 (Mi znsl979)

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

On approximations of the groups, group actions and Hopf algebras

M. A. Alekseyev, L. Yu. Glebskii, E. I. Gordon

N. I. Lobachevski State University of Nizhni Novgorod

Full-text PDF (386 kB) Citations (18)

Abstract: Continuing ideas of [15] we give new examples and criterias in the approximation theory.

Received: 01.07.1999

English version:
Journal of Mathematical Sciences (New York), 2001, Volume 107, Issue 5, Pages 4305–4332
DOI: https://doi.org/10.1023/A:1012485910692

Bibliographic databases:

UDC: 512.54

Language: Russian

Citation: M. A. Alekseyev, L. Yu. Glebskii, E. I. Gordon, “On approximations of the groups, group actions and Hopf algebras”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part III, Zap. Nauchn. Sem. POMI, 256, POMI, St. Petersburg, 1999, 224–262; J. Math. Sci. (New York), 107:5 (2001), 4305–4332

Citation in format AMSBIB

\Bibitem{AleGleGor99}

\by M.~A.~Alekseyev, L.~Yu.~Glebskii, E.~I.~Gordon

\paper On approximations of the groups, group actions and Hopf algebras

\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~III

\serial Zap. Nauchn. Sem. POMI

\yr 1999

\vol 256

\pages 224--262

\publ POMI

\publaddr St.~Petersburg

\mathnet{http://mi.mathnet.ru/znsl979}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1708567}

\zmath{https://zbmath.org/?q=an:1130.20306}

\transl

\jour J. Math. Sci. (New York)

\yr 2001

\vol 107

\issue 5

\pages 4305--4332

\crossref{https://doi.org/10.1023/A:1012485910692}

Linking options:

https://www.mathnet.ru/eng/znsl979

https://www.mathnet.ru/eng/znsl/v256/p224

This publication is cited in the following 18 articles:

Conant G., Pillay A., Terry C., “Structure and Regularity For Subsets of Groups With Finite Vc-Dimension”, J. Eur. Math. Soc., 24:2 (2022), 583–621
Conant G., “On Finite Sets of Small Tripling Or Small Alternation in Arbitrary Groups”, Comb. Probab. Comput., 29:6 (2020), PII S0963548320000176, 807–829
McKenney P., Vignati A., “Ulam Stability For Some Classes of C-Algebras”, Proc. R. Soc. Edinb. Sect. A-Math., 149:1 (2019), 45–59
Glebsky L., “Approximations of groups, characterizations of sofic groups, and equations over groups”, J. Algebra, 477 (2017), 147–162
Jean B. Nganou, “Stone MV-algebras and strongly complete MV-algebras”, Algebra Univers., 77:2 (2017), 147
Peter Letavaj, Ladislav Mišík, Martin Sleziak, “Extreme points of the set of density measures”, Journal of Mathematical Analysis and Applications, 423:2 (2015), 1150
Farah I., “All automorphisms of the Calkin algebra are inner”, Ann of Math (2), 173:2 (2011), 619–661
T. G. Ceccherini-Silberstein, A. Y. Samet-Vaillant, “Asymptotic invariants of finitely generated algebras. A generalization of Gromov's quasi-isometric viewpoint”, J Math Sci, 156:1 (2009), 56
Glebsky L.Yu., Gordon E.I., Henson C.W., “On finite approximations of topological algebraic systems”, Journal of Symbolic Logic, 72:1 (2007), 1–25
Ziman M., Zlatos P., “Hyperfinite dimensional representations of spaces and algebras of measures”, Monatshefte fur Mathematik, 148:3 (2006), 241–261
Glebsky L.Y., Gordon E.I., Rubio C.J., “A survey on approximation of locally compact groups by finite groups, semigroups and quasigroups”, Non-Associative Algebra and Its Applications, Monographs and Textbooks in Pure and Applied Mathematics, 246, 2006, 167–182
L. Yu. Glebskii, E. I. Gordon, “On approximation of amenable groups by finite quasigroups”, J. Math. Sci. (N. Y.), 140:3 (2007), 369–375
Glebsky L.Y., Gordon E.I., “On surjunctivity of the transition functions of cellular automata on groups”, Taiwanese Journal of Mathematics, 9:3 (2005), 511–520
Macaj M., Zlatos P., “Approximate extension of partial epsilon-characters of abelian groups to characters with application to integral point lattices”, Indagationes Mathematicae-New Series, 16:2 (2005), 237–250
Glebsky L.Y., Gordon E.I., “On approximation of topological groups by finite quasigroups and finite semigroups”, Illinois J Math, 49:1 (2005), 1–16
Glebsky L.Y., Gordon E.I., “On approximation of locally compact groups by finite algebraic systems”, Electronic Research Announcements of the American Mathematical Society, 10 (2004), 21–28
Spakula J., Zlatos P., “Almost homomorphisms of compact groups”, Illinois J Math, 48:4 (2004), 1183–1189
Ziman M., “On finite approximations of groups and algebras”, Illinois Journal of Mathematics, 46:3 (2002), 837–839

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

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