Results 81 to 90 of about 30,021 (207)

Parity of ranks of Jacobians of curves

open access: yesProceedings of the London Mathematical Society, Volume 131, Issue 3, September 2025.
Abstract We investigate Selmer groups of Jacobians of curves that admit an action of a non‐trivial group of automorphisms, and give applications to the study of the parity of Selmer ranks. Under the Shafarevich–Tate conjecture, we give an expression for the parity of the Mordell–Weil rank of an arbitrary Jacobian in terms of purely local invariants ...
Vladimir Dokchitser   +3 more
wiley   +1 more source

G$G$‐typical Witt vectors with coefficients and the norm

open access: yesJournal of Topology, Volume 18, Issue 3, September 2025.
Abstract For a profinite group G$G$ we describe an abelian group WG(R;M)$W_G(R; M)$ of G$G$‐typical Witt vectors with coefficients in an R$R$‐module M$M$ (where R$R$ is a commutative ring). This simultaneously generalises the ring WG(R)$W_G(R)$ of Dress and Siebeneicher and the Witt vectors with coefficients W(R;M)$W(R; M)$ of Dotto, Krause, Nikolaus ...
Thomas Read
wiley   +1 more source

Some New Optimal Skew Cyclic Codes With Derivation

open access: yesIEEE Access
Our study included a class of cyclic codes named $\delta _{\alpha,\zeta }-$ cyclic codes over the ring $\mathcal {R}=\mathbb {F}_{2^{m}} + u\mathbb {F}_{2^{m}}+u^{2}\mathbb {F}_{2^{m}}$ , where m is an odd positive integer with $u^{3}=1$ . These codes
Asia Noor   +3 more
doaj   +1 more source

On the Terwilliger Algebra of the Group Association Scheme of the Symmetric Group Sym ( 7 )

open access: yesJournal of Combinatorial Designs, Volume 33, Issue 7, Page 261-274, July 2025.
ABSTRACT Terwilliger algebras are finite‐dimensional semisimple algebras that were first introduced by Paul Terwilliger in 1992 in studies of association schemes and distance‐regular graphs. The Terwilliger algebras of the conjugacy class association schemes of the symmetric groups Sym ( n ), for 3 ≤ n ≤ 6, have been studied and completely determined ...
Allen Herman   +2 more
wiley   +1 more source

Inner Automorphisms of Clifford Monoids

open access: goldHacettepe Journal of Mathematics and Statistics
An automorphism $\phi$ of a monoid $S$ is called inner if there exists $g$ in $U_{S}$, the group of units of $S$, such that $\phi(s)=gsg^{-1}$ for all $s $ in $S$; we call $S$ nearly complete if all of its automorphisms are inner. In this paper, first we prove several results on inner automorphisms of a general monoid and subsequently apply them to ...
Aftab Hussain Shah   +2 more
openalex   +4 more sources

Spanning Multi‐Asset Payoffs With ReLUs

open access: yesMathematical Finance, Volume 35, Issue 3, Page 682-707, July 2025.
ABSTRACT We propose a distributional formulation of the spanning problem of a multi‐asset payoff by vanilla basket options. This problem is shown to have a unique solution if and only if the payoff function is even and absolutely homogeneous, and we establish a Fourier‐based formula to calculate the solution.
Sébastien Bossu   +2 more
wiley   +1 more source

Pigmentation and Retinal Pigment Epithelium Thickness: A Study of the Phenotypic and Genotypic Relationships Between Ocular and Extraocular Pigmented Tissues

open access: yesPigment Cell &Melanoma Research, Volume 38, Issue 4, July 2025.
ABSTRACT The retinal pigment epithelium (RPE) is a specialised monolayer of pigmented epithelial cells in the outer retina. The extent to which RPE pigmentation is related to that of other tissues remains unclear. We utilised RPE thickness measured using optical coherence tomography (OCT) imaging as an indicator of RPE melanin content.
Thomas H Julian   +4 more
wiley   +1 more source

All automorphisms of the Calkin algebra are inner [PDF]

open access: yesAnnals of Mathematics, 2011
We prove that it is relatively consistent with the usual axioms of mathematics that all automorphisms of the Calkin algebra are inner. Together with a 2006 Phillips--Weaver construction of an outer automorphism using the Continuum Hypothesis, this gives a complete solution to a 1977 problem of Brown-Douglas-Fillmore.
openaire   +3 more sources

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