Results 61 to 70 of about 9,361 (158)

The Global Glimm Property for C*‐algebras of topological dimension zero

Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract We show that a C∗$C^*$‐algebra with topological dimension zero has the Global Glimm Property (every hereditary subalgebra contains an almost full nilpotent element) if and only if it is nowhere scattered (no hereditary subalgebra admits a finite‐dimensional representation). This solves the Global Glimm Problem in this setting.
Ping Wong Ng, Hannes Thiel, Eduard Vilalta   +2 more
wiley   +1 more source

A classification of Prüfer domains of integer‐valued polynomials on algebras

Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract Let D$D$ be an integrally closed domain with quotient field K$K$ and A$A$ a torsion‐free D$D$‐algebra that is finitely generated as a D$D$‐module and such that A∩K=D$A\cap K=D$. We give a complete classification of those D$D$ and A$A$ for which the ring IntK(A)={f∈K[X]∣f(A)⊆A}$\textnormal {Int}_K(A)=\lbrace f\in K[X] \mid f(A)\subseteq A ...
Giulio Peruginelli, Nicholas J. Werner
wiley   +1 more source

Sheffer Stroke BCK-Algebras via Linear Diophantine Fuzzy Structures

Axioms
This study investigates linear Diophantine fuzzy structures within the framework of Sheffer stroke BCK-algebras (SBCK-algebras). We introduce and characterize linear Diophantine fuzzy SBCK-subalgebras and linear Diophantine fuzzy SBCK-ideals ...
Amal S. Alali, Tahsin Oner, Ravikumar Bandaru, Neelamegarajan Rajesh, Hashem Bordbar   +4 more
doaj   +1 more source

The Theory of Falling Shadows Applied to 𝑑-Ideals in 𝑑-Algebras

International Journal of Mathematics and Mathematical Sciences, 2012
On the basis of the theory of a falling shadow which was first formulated by Wang (1985), the notion of falling 𝑑∗-ideals in 𝑑-algebras is introduced, and related properties are investigated.
Young Bae Jun, Sun Shin Ahn
doaj   +1 more source

Abelian subalgebras and ideals of maximal dimension in Zinbiel algebras

Communications in Algebra, 2022
arXiv admin note: text overlap with arXiv:2105 ...
Manuel Ceballos, David A. Towers
openaire   +4 more sources

Noncommutative polygonal cluster algebras

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract We define a new family of noncommutative generalizations of cluster algebras called polygonal cluster algebras. These algebras generalize the noncommutative surfaces of Berenstein–Retakh, and are inspired by the emerging theory of Θ$\Theta$‐positivity for the groups Spin(p,q)$\mathrm{Spin}(p,q)$.
Zachary Greenberg, Dani Kaufman, Merik Niemeyer, Anna Wienhard   +3 more
wiley   +1 more source

Ideals and Homomorphism Theorems of Fuzzy Associative Algebras

Mathematics
Based on the definitions of fuzzy associative algebras and fuzzy ideals, it is proven that the intersections of fuzzy subalgebras are fuzzy subalgebras, and the intersections of fuzzy ideals are fuzzy ideals.
Xiaoman Yang, Xin Zhou
doaj   +1 more source

Sublinear bilipschitz equivalence and the quasiisometric classification of solvable Lie groups

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract We prove a product theorem for sublinear bilipschitz equivalences which generalizes the classical work of Kapovich, Kleiner, and Leeb on quasiisometries between product spaces. We employ our product theorem to distinguish up to quasiisometry certain families of solvable groups which share the same dimension, cone‐dimension and Dehn function ...
Ido Grayevsky, Gabriel Pallier
wiley   +1 more source

Abelian ideals of a Borel subalgebra and root systems [PDF]

Journal of the European Mathematical Society, 2014
Let \mathfrak g be a simple Lie algebra and \mathfrak {Ab}^o the poset of non-trivial abelian ideals of a fixed Borel subalgebra of
openaire   +4 more sources

Traces of Hecke operators on Drinfeld modular forms for GL2(Fq[T])$\operatorname{GL}_2(\mathbb {F}_q[T])$

Mathematika, Volume 72, Issue 2, April 2026.
Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley   +1 more source