Results 41 to 50 of about 1,744,733 (206)
Lipschitz groups and Lipschitz maps [PDF]
International Journal of Group Theory, 2017 This contribution mainly focuses on some aspects of Lipschitz groups, i.e., metrizable groups with Lipschitz multiplication and inversion map. In the main result it is proved that metric groups, with a translation-invariant metric, may be ...
Laurent Poinsot
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Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
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A Remark on Quadrics in Projective Klingenberg Spaces over a Certain Local Algebra
Mathematics, 2020 This article is devoted to some polar properties of quadrics in the projective Klingenberg spaces over a local ring which is a linear algebra generated by one nilpotent element.
Marek Jukl
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Purely Coclosed G2‐Structures on Nilmanifolds—II
Mathematische Nachrichten, EarlyView.ABSTRACT This paper completes the classification of seven‐dimensional nilpotent Lie groups endowed with a left‐invariant purely coclosed G2$\text{G}_2$‐structure, initiated in Bazzoni et al. [Mathematische Nachrichten 296 no. 6 (2023): 2236–2257], the authors provided the classification of decomposable seven‐dimensional nilpotent Lie groups and of the ...
Giovanni Bazzoni, Giorgia Petracci
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On the additive image of zeroth persistent homology
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
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Limit Cycles and Integrability in a Class of Systems with High-Order Nilpotent Critical Points
Abstract and Applied Analysis, 2013 A class of polynomial differential systems with high-order nilpotent critical points are investigated in this paper. Those systems could be changed into systems with an element critical point.
Feng Li, Jianlong Qiu
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Quasi Centralizers and Inner Derivations in a Closed Ideal of a Complex Banach Algebra [PDF]
مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2004 In this paper we show that, for an ideal J of a unital complex Banach algebra A, we have (i) under certain conditions the ? -quasi centralizer, the quasi centralizer, and the centralizer of J are all identical, and so they are subsets of the ?
As'ad Y. As'ad
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A Coarse Geometric Approach to Graph Layout Problems
Journal of Graph Theory, Volume 113, Issue 2, Page 169-194, October 2026.ABSTRACT We define a range of new coarse geometric invariants based on various graph–theoretic measures of complexity for finite graphs, including treewidth, pathwidth, cutwidth and bandwidth. We prove that, for bounded degree graphs, these invariants can be used to define functions which satisfy a strong monotonicity property, namely, they are ...
Wanying Huang +3 more
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On nilpotent elements of skew polynomial rings
Journal of Mathematical Extension, 2012 Summary: We study the structure of the set of nilpotent elements in skew polynomial ring \(R[x;\alpha]\), when \(R\) is an \(\alpha\)-Armendariz ring. We prove that if \(R\) is a nil \(\alpha\)-Armendariz ring and \(\alpha^t=I_R\), then the set of nilpotent elements of \(R\) is an \(\alpha\)-compatible subring of \(R\).
J. Esmaeili, E. Hashemi
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Probabilistically-like nilpotent groups
, 2022 The main goal of the paper is to present a general model theoretic framework to understand a result of Shalev on probabilistically finite nilpotent groups.
Palacín Cruz, Daniel
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