Results 61 to 70 of about 1,200,355 (273)

Topological K‐theory of quasi‐BPS categories for Higgs bundles

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract In a previous paper, we introduced quasi‐BPS categories for moduli stacks of semistable Higgs bundles. Under a certain condition on the rank, Euler characteristic, and weight, the quasi‐BPS categories (called BPS in this case) are noncommutative analogues of Hitchin integrable systems.
Tudor Pădurariu, Yukinobu Toda
wiley   +1 more source

On the Complexity of Noncommutative Polynomial Factorization

, 2015
In this paper we study the complexity of factorization of polynomials in the free noncommutative ring $\mathbb{F}\langle x_1,x_2,\dots,x_n\rangle$ of polynomials over the field $\mathbb{F}$ and noncommuting variables $x_1,x_2,\ldots,x_n$.
Arvind, V., Joglekar, Pushkar S, Rattan, Gaurav   +2 more
core   +1 more source

Superquadric Motion and Superquadric Hyperbolic Split Quaternion Algebra Via Gielis Formula

Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 15035-15048, 15 November 2025.
ABSTRACT Superquadrics are one of the most suitable geometric tools for modeling many complex shapes in nature. It is possible to model many objects, human figures, and living creatures in nature in a suitable way by means of superquadrics. On the other hand, quaternions are useful in mathematics, especially for computations involving three‐dimensional
Zehra Özdemir, Esra Parlak
wiley   +1 more source

Local Normal Forms of Noncommutative Functions

Forum of Mathematics, Pi
This article describes local normal forms of functions in noncommuting variables, up to equivalence generated by isomorphism of noncommutative Jacobi algebras, extending singularity theory in the style of Arnold’s commutative local normal forms into the ...
Gavin Brown, Michael Wemyss
doaj   +1 more source

A Tour of Noncommutative Spectral Theories [PDF]

Notices of the American Mathematical Society
This is a survey of noncommutative generalizations of the spectrum of a ring, written for the Notices of the American Mathematical Society.
Manuel Reyes
semanticscholar   +1 more source

A New Approach to the Accretive Growth of Surfaces Via Hyperbolical Kinematics

Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 15349-15363, 15 November 2025.
ABSTRACT In the current work, we introduce the accretive growth of surfaces by using hyperbolical geometry. First, we describe hyperbolical kinematics along a generating curve to construct accretive surfaces having a hyperbolical cross‐section. The obtained surfaces are not only the ones having hyperbolical cross‐sections but also their material points
Gül Tuğ, Zehra Özdemir
wiley   +1 more source

On the generalization of torsion functor and P-semiprime modules over noncommutative rings [PDF]

Journal of Hyperstructures
Let R be an associative Noetherian unital noncommutative ring R. We introduce the functor PΓP over the category of R-modules and use it to characterize P-semiprime. P-semisecond R-modules also characterized by the functor PΛP.
Teklemichael Bihonegn, Tilahun Abebaw, Nega Arega   +2 more
doaj   +1 more source

Noncommutative localization and chain complexes I. Algebraic K- and L-theory [PDF]

, 2001
The noncommutative (Cohn) localization S^{-1}R of a ring R is defined for any collection S of morphisms of f.g. projective left R-modules. We exhibit S^{-1}R as the endomorphism ring of R in an appropriate triangulated category. We use this expression to
Neeman, Amnon, Ranicki, Andrew
core   +2 more sources

Homological Identities for Noncommutative Rings

Journal of Algebra, 2001
The central results of this paper concern the extension to large classes of noncommutative rings of three of the key homological theorems in the theory of a commutative Noetherian local ring \(A\), namely the Auslander-Buchsbaum formula, Bass's theorem on the equality of the injective dimension of a finitely generated module of finite injective ...
Wu, Q.-S, Zhang, J.J
openaire   +1 more source

Average‐Case Matrix Discrepancy: Satisfiability Bounds

Random Structures &Algorithms, Volume 67, Issue 3, October 2025.
ABSTRACT Given a sequence of d×d$$ d\times d $$ symmetric matrices {Wi}i=1n$$ {\left\{{\mathbf{W}}_i\right\}}_{i=1}^n $$, and a margin Δ>0$$ \Delta >0 $$, we investigate whether it is possible to find signs (ε1,…,εn)∈{±1}n$$ \left({\varepsilon}_1,\dots, {\varepsilon}_n\right)\in {\left\{\pm 1\right\}}^n $$ such that the operator norm of the signed sum ...
Antoine Maillard
wiley   +1 more source