Results 101 to 110 of about 124,800 (224)

On discontinuity of derivations, inducing inequivalent complete metric topologies

Extracta Mathematicae
We give an elementary method for constructing commutative Fréchet algebras with non-unique Fréchet algebra topology. The result is applied to show that the action of any non-algebraic analytic function may fail to be uniquely defined among other useful ...
S.R. Patel
doaj   +3 more sources

Geometry of Supergravity and the Batalin–Vilkovisky Formulation of the N=1$\mathcal N=1$ Theory in Ten Dimensions

Fortschritte der Physik, Volume 74, Issue 5, May 2026.
ABSTRACT We provide full details of a BV formulation of N=1$\mathcal N=1$ supergravity in 10 dimensions, to all orders in fermions, built from the generalised geometry description of the theory. In contrast to standard treatments, we introduce neither the degrees of freedom corresponding to orthonormal frames for the metric nor the local Lorentz ...
Julian Kupka, Charles Strickland‐Constable, Fridrich Valach   +2 more
wiley   +1 more source

Dual Structures in Non-Commutative Differential Algebras

, 1995
The non-commutative algebraic analog of the moduli of vector and covector fields is built. The structure of moduli of derivations of non-commutative algebras are studied. The canonical coupling is introduced and the conditions for appropriate moduli to be reflexive are obtained.
Parfionov, G. N., Zapatrin, R. R.
openaire   +3 more sources

On the finite generation of ideals in tensor triangular geometry

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract Inspired by Cohen's characterization of Noetherian commutative rings, we study the finite generation of ideals in tensor triangular geometry. In particular, for an essentially small tensor triangulated category K$\mathcal {K}$ with weakly Noetherian spectrum, we show that every prime ideal in K$\mathcal {K}$ can be generated by finitely many ...
Tobias Barthel
wiley   +1 more source

The epsilon algorithm an a non-commutative algebra

Journal of Computational and Applied Mathematics, 1987
Let \({\mathcal A}\) be a noncommutative Banach algebra with unit element I over a field \({\mathfrak K}\) and f be the formal power series \(f(t)=\sum^{\infty}_{i=0}c_ it^ i\) where \(c_ i\in {\mathcal A}\) (i\(\geq 0)\) and \(t\in {\mathfrak K}\). The approximating fraction \(R_ k^{(n)}\) of order k, \(n+k-1\) derived from f is given by \(R_ k^{(n ...
openaire   +2 more sources

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
wiley   +1 more source

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, Pat Lank, Kabeer Manali Rahul, Sridhar Venkatesh   +3 more
wiley   +1 more source

Differential and Integral Forms on Non-commutative Algebras [PDF]

, 2018
An extended summary of the lecture course given at the V School on Geometry and Physics, Białoweża 2016, in which an algebraic approach to differentiation and integration that is characteristic for non-commutative geometry is described.
openaire   +2 more sources

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, Giovanni Cerulli Irelli, Javier De Loera Chávez, Elena Pascucci   +3 more
wiley   +1 more source

On Non-Commutative Multi-Rings with Involution

Mathematics
The primary motivation for this work is to develop the concept of Marshall’s quotient applicable to non-commutative multi-rings endowed with involution, expanding upon the main ideas of the classical case—commutative and without involution—presented in ...
Kaique M. A. Roberto, Kaique R. P. Santos, Hugo Luiz Mariano   +2 more
doaj   +1 more source