Results 11 to 20 of about 16,516 (281)
Efficacy of neurosurgical interventions for epilepsy in polymicrogyria: A systematic review [PDF]
Epilepsia OpenPolymicrogyria (PMG) is a rare malformation of cortical development (MCD) characterized by abnormal neuronal architecture, often associated with epilepsy.
Sergio Rinella +4 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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Expanding the scope of pediatric epilepsy surgery: Access, indications, and outcomes in a modern cohort [PDF]
Epilepsia OpenObjective Expanded indications, diagnostic tools, and treatment options have transformed the landscape of modern pediatric epilepsy surgery. Published real‐world experiences from large surgical cohorts are still needed.
John R. McLaren +12 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.
openaire +3 more sources
Associative rings satisfying the Engel condition [PDF]
Proceedings of the American Mathematical Society, 1999 Let C C be a commutative ring, and let
Riley, D. M., Wilson, Mark C.
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On Lie Rings Satisfying the Fourth Engel Condition [PDF]
Proceedings of the American Mathematical Society, 1971 In this paper we prove that a Lie ring of characteristic prime to 2, 3 and 5, satisfying the fourth Engel condition, is nilpotent.
Mohan S. Putcha
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Engel conditions and symmetric tensors [PDF]
Linear and Multilinear Algebra, 2011 In a recent study of Engel Lie rings, Serena Cicalo` and Willem de Graaf have given a practical set of conditions for an additively finitely generated Lie ring L to satisfy an Engel condition. We present a simpler and more direct proof of this fact.
Sandro Mattarei (17162998)
core +6 more sources
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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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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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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