Results 111 to 120 of about 65,756 (223)

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

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

Strong commutativity preserving derivations on Lie ideals of prime Γ-rings [PDF]

Mathematica Moravica, 2019
Let M be a Γ-ring and S ⊆ M. A mapping f : M → M is called strong commutativity preserving on S if [f(x), f(y)]α = [x, y]α, for all x, y ∈ S, α ∈ Γ. In the present paper, we investigate the commutativity of the prime Γ-ring M of characteristic not 2 with
Arslan Okan, Arslan Berna
doaj  

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

Generalized (τ, σ)-L-Derivations in Rings

Mathematics
Let τ and σ:X⟶X be automorphisms of an arbitrary associative ring X, and let L be a prime ideal of X. The main objective of this article is to combine the notions of generalized L-derivations and (τ,σ)-L-derivations by introducing and analyzing a novel ...
Hicham Saber, Zakia Z. Al-Amery, Radwan M. Al-omary, Khaled Aldwoah, Amer Alsulami, Muntasir Suhail   +5 more
doaj   +1 more source

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

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
wiley   +1 more source

On the mapping xy→(xy)n in an associative ring

International Journal of Mathematics and Mathematical Sciences, 2004
We consider the following condition (*) on an associative ring R:(*). There exists a function f from R into R such that f is a group homomorphism of (R,+), f is injective on R2, and f(xy)=(xy)n(x,y) for some positive integer n(x,y)>1. Commutativity and
Scott J. Beslin, Awad Iskander
doaj   +1 more source

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, Eva Elduque   +1 more
wiley   +1 more source

A note on commutativity of nonassociative rings

International Journal of Mathematics and Mathematical Sciences, 2000
A theorem on commutativity of nonassociate ring is given.
M. S. S. Khan
doaj   +1 more source