Results 111 to 120 of about 91,324 (250)
Two elementary commutativity theorems for generalized boolean rings
International Journal of Mathematics and Mathematical Sciences, 1997 In this paper we prove that if R is a ring with 1 as an identity element in which xm−xn∈Z(R) for all x∈R and fixed relatively prime positive integers m and n, one of which is even, then R is commutative.
Vishnu Gupta
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A note on relative Gelfand–Fuks cohomology of spheres
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We study the Gelfand–Fuks cohomology of smooth vector fields on Sd$\mathbb {S}^d$ relative to SO(d+1)$\mathrm{SO}(d+1)$ following a method of Haefliger that uses tools from rational homotopy theory. In particular, we show that H∗(BSO(4);R)$H^*(\mathrm{B}\mathrm{SO}(4);\mathbb {R})$ injects into the relative Gelfand–Fuks cohomology which ...
Nils Prigge
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Measuring birational derived splinters
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract This work is concerned with categorical methods for studying singularities. Our focus is on birational derived splinters, which is a notion that extends the definition of rational singularities beyond varieties over fields of characteristic zero. Particularly, we show that an invariant called ‘level’ in the associated derived category measures
Timothy De Deyn +3 more
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A graph-theoretic approach to chaos and complexity in quantum systems
SciPost Physics CoreThere has recently been considerable interest in studying quantum systems via dynamical Lie algebras (DLAs) – Lie algebras generated by the terms which appear in the Hamiltonian of the system.
Maxwell West, Neil Dowling, Angus Southwell, Martin Sevior, Muhammad Usman, Kavan Modi, Thomas Quella
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Polynomial identities for quivers via incidence algebras
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We show that the path algebra of a quiver satisfies the same polynomial identities (PI) of an algebra of matrices, if any. In particular, the algebra of n×n$n\times n$ matrices is PI‐equivalent to the path algebra of the oriented cycle with n$n$ vertices.
Allan Berele +3 more
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Stabilization of Poincaré duality complexes and homotopy gyrations
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract Stabilization of manifolds by a product of spheres or a projective space is important in geometry. There has been considerable recent work that studies the homotopy theory of stabilization for connected manifolds. This paper generalizes that work by developing new methods that allow for a generalization to stabilization of Poincaré duality ...
Ruizhi Huang, Stephen Theriault
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The fundamental group of the complement of a generic fiber‐type curve
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract In this paper, we describe and characterize the fundamental group of the complement of generic fiber‐type curves, that is, unions of (the closure of) finitely many generic fibers of a component‐free pencil F=[f:g]:CP2⤍CP1$F=[f:g]:\mathbb {C}\mathbb {P}^2\dashrightarrow \mathbb {C}\mathbb {P}^1$.
José I. Cogolludo‐Agustín +1 more
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Application of Group‐Theoretical Approaches in Structural Natural Frequency Analyses
International Journal for Numerical Methods in Engineering, Volume 127, Issue 7, 15 April 2026.ABSTRACT Group theory has profoundly advanced physics and chemistry in systems with symmetries. Yet its use in structural engineering applications has not yet been fully explored beyond the aesthetics of symmetric designs. This work addresses two significant gaps that have limited the broader adoption of group‐theoretic methods in structural vibration ...
Shiyao Sun, Kapil Khandelwal
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10-Commutators, 13-commutators and odd derivations
Journal of Nonlinear Mathematical Physics, 2008 Let \(X_1\), \dots, \(X_n\in Vect(n)\) be vector fields on a smooth manifold \(M\) of dimension \(n\) and define the \(N\)-commutator as \(s_N(X_1,\ldots,X_N)=\sum (-1)^\sigma X_{\sigma(1)}\ldots X_{\sigma(N)}\) where the summation runs over the symmetric group \(Sym_N\) and \((-1)^\sigma\) is the sign of the permutation \(\sigma\).
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