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Weak Engel Conditions on Linear Groups [PDF]
Advances in Group Theory and Applications, 2019 We study several weak Engel conditions on linear groups, starting from the “almost Engel” condition of Khukhro and Shumyatsky. There the groups were Engel modulo certain finite subsets.
B.A.F. Wehrfritz
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Compact groups with countable Engel sinks
Bulletin of Mathematical Sciences, 2021 An Engel sink of an element g of a group G is a set ℰ(g) such that for every x ∈ G all sufficiently long commutators [...[[x,g],g],…,g] belong to ℰ(g).
E. I. Khukhro, P. Shumyatsky
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Fuzzy Information and Engineering, 2022 In this paper, we determined a new characterisation of the derived nilpotent (Engel) Lie ring of fuzzy hyperrings by fuzzy strongly regular relation [Formula: see text]([Formula: see text]). Moreover, we proved that for a fuzzy hyperring S, the quotient [
E. Mohammadzadeh +3 more
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An Engel condition for orderable groups [PDF]
Bulletin of the Brazilian Mathematical Society, New Series, 2015 Let m,n be positive integers, v a multilinear commutator word and w=v^m. We prove that if G is an orderable group in which all w-values are n-Engel, then the verbal subgroup v(G) is locally nilpotent. We also show that in the particular case where v=x the group G is nilpotent (rather than merely locally nilpotent).
P. Shumyatsky +2 more
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Фінансово-кредитна діяльність: проблеми теорії та практики, 2023 The article is devoted to the adaptation of Engel's curve tools for evaluating the well-being of Ukrainian households. In particular, the assessment of the welfare inequality, observed between households with the lowest equivalent per capita income and ...
Denys Verba +3 more
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Principles of the toll roads pricing [PDF]
Archives of Transport, 2018 In this paper the authors refer to the method of commercial provision of road infrastructure called BOT (build-operate-transfer) under Public-private partnerships (PPPs) scheme.
Piotr Jaworski +2 more
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An Engel condition with derivation [PDF]
Proceedings of the American Mathematical Society, 1993 Let R R be a prime ring, L
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Identities with Engel conditions on derivations
Monatshefte für Mathematik, 2010 Let \(R\) be a semiprime ring with center \(Z(R)\), symmetric Martindale quotient ring \(Q\), and nonzero derivation \(D\). The authors prove two results involving \(D\) and Engel conditions. Let \([x,y_1]_1=xy_1-y_1x\) and for \(n>1\) set \([x,y_1,\dots,y_n]_n=[[x,y_1,\dots,y_{n-1}]_{n-1},y_n]_1\).
Kosan, M.Tamer +2 more
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Radical Rings with Engel Conditions
Journal of Algebra, 2000 In a ring \(R\) the Lie multiplication and the Lie commutators are defined inductively by \([r,s]=rs-sr\), and \([r_1,\dots,r_{n+1}]=[[r_1,\dots,r_n],r_{n+1}]\). A ring \(R\) is \(n\)-Engel, if \([r,s,\dots,s]=0\) where \(s\) appears exactly \(n\) times.
Amberg, Bernhard, Sysak, Yaroslav P.
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A new genus of nemonychid weevil from Burmese amber (Coleoptera, Curculionoidea)
ZooKeys, 2014 The first fossil nemonychid (Nemonychidae) in Burmese amber, belonging to the subfamily Rhinorhynchinae, is described and figured as Burmonyx zigrasi Davis and Engel, gen. n. and sp. n.
Steve Davis, Michael Engel
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