Results 91 to 100 of about 813,424 (237)
Free abelian lattice-ordered groups
Annals of Pure and Applied Logic, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Glass, A. M. W. +2 more
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Uniqueness of extremal almost periodic states on the injective type III1$\mathrm{III}_1$ factor
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract Let R∞$R_\infty$ denote the Araki–Woods factor—the unique separable injective type III1$\mathrm{III}_1$ factor. For extremal almost periodic states φ,ψ∈(R∞)∗$\varphi, \psi \in (R_\infty)_*$, we show that if Δφ$\Delta _\varphi$ and Δψ$\Delta _\psi$ have the same point spectrum, then ψ=φ∘α$\psi = \varphi \circ \alpha$ for some α∈Aut(R∞)$\alpha ...
Michael Hartglass, Brent Nelson
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The Non-abelian Specker-Group Is Free
Journal of Algebra, 2000 The finitely generated free Abelian groups \(Z^n=\langle a_1,\dots,a_n\rangle\) naturally form an inverse system \(Z\leftarrow Z^2\leftarrow Z^3\leftarrow\cdots\), where the homomorphism \(Z^{n-1}\leftarrow Z^n\) simply collapses the last generator \(a_n\) to the identity element.
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Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
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Spectral Analysis Implies Spectral Synthesis
MathematicsIn this paper we show that spectral analysis implies spectral synthesis for arbitrary varieties on locally compact Abelian groups that have no discrete subgroups of an infinite torsion-free rank.
László Székelyhidi
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FREE GROUPS AND AUTOMORPHISM GROUPS OF INFINITE STRUCTURES
Forum of Mathematics, Sigma, 2014 Given a cardinal $\lambda $ with $\lambda =\lambda ^{\aleph _0}$
PHILIPP LÜCKE, SAHARON SHELAH
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European Physical Journal C: Particles and Fields, 2021 In the present work, we have extended the standard model by an abelian $$U(1)_{X}$$ U ( 1 ) X gauge group and additional particles. In particular, we have extended the particle content by three right handed neutrinos, two singlet scalars and two vectors ...
Sarif Khan
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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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Note on Automorphisms of a Free Abelian Group [PDF]
Canadian Mathematical Bulletin, 1980 Let F be a free group. Denote by the quotient group by the commutator subgroup which is a free abelian group. The fact that the natural map from Aut(F) into Aut() is an epimorphism, in case when F is finitely generated, was known as a consequence of the theory of Nielsen transformations ([2]) Proposition 4.4 and [3] Corollary 3.5.1).
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Which singular tangent bundles are isomorphic?
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract Logarithmic and b$ b$‐tangent bundles provide a versatile framework for addressing singularities in geometry. Introduced by Deligne and Melrose, these modified bundles resolve singularities by reframing singular vector fields as well‐behaved sections of these singular bundles.
Eva Miranda, Pablo Nicolás
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