Results 71 to 80 of about 31,076 (193)

F‐purity of binomial edge ideals

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract In 2012, Matsuda introduced the class of weakly closed graphs and investigated when binomial edge ideals are F‐pure. He proved that weakly closed binomial edge ideals are F‐pure whenever the base field has positive characteristic. He conjectured that: (i) when the base field has characteristic 2, every F‐pure binomial edge ideal comes from a ...
Adam LaClair, Jason McCullough
wiley   +1 more source

Rational torsion points on abelian surfaces with quaternionic multiplication

Forum of Mathematics, Sigma
Let A be an abelian surface over ${\mathbb {Q}}$ whose geometric endomorphism ring is a maximal order in a non-split quaternion algebra. Inspired by Mazur’s theorem for elliptic curves, we show that the torsion subgroup of $A({\mathbb {Q}})$
Jef Laga, Ciaran Schembri, Ari Shnidman, John Voight   +3 more
doaj   +1 more source

Nilpotent Elements in Skew Polynomial Rings [PDF]

Journal of Sciences, Islamic Republic of Iran, 2017
Letbe a ring with an endomorphism and an -derivationAntoine studied the structure of the set of nilpotent elements in Armendariz rings and introduced nil-Armendariz rings.
M. Azimi, A. Moussavi
doaj  

The log Grothendieck ring of varieties

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract We define a Grothendieck ring of varieties for log schemes. It is generated by one additional class “P$P$” over the usual Grothendieck ring. We show the naïve definition of log Hodge numbers does not make sense for all log schemes. We offer an alternative that does.
Andreas Gross, Leo Herr, David Holmes, Pim Spelier, Jesse Vogel   +4 more
wiley   +1 more source

Profinite direct sums with applications to profinite groups of type ΦR$\Phi _R$

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract We show that the ‘profinite direct sum’ is a good notion of infinite direct sums for profinite modules, having properties similar to those of direct sums of abstract modules. For example, the profinite direct sum of projective modules is projective, and there is a Mackey's formula for profinite modules described using these sums.
Jiacheng Tang
wiley   +1 more source

Endomorphism algebras of maximal rigid objects in cluster tubes

, 2011
Given a maximal rigid object $T$ of the cluster tube, we determine the objects finitely presented by $T$. We then use the method of Keller and Reiten to show that the endomorphism algebra of $T$ is Gorenstein and of finite representation type, as first ...
Yang, Dong
core   +1 more source

Modeling (∞,1)$(\infty,1)$‐categories with Segal spaces

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract In this paper, we construct a model structure for (∞,1)$(\infty,1)$‐categories on the category of simplicial spaces, whose fibrant objects are the Segal spaces. In particular, we show that it is Quillen equivalent to the models of (∞,1)$(\infty,1)$‐categories given by complete Segal spaces and Segal categories.
Lyne Moser, Joost Nuiten
wiley   +1 more source

Module structure of Weyl algebras

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract The seminal paper (Stafford, J. Lond. Math. Soc. (2) 18 (1978), no. 3, 429–442) was a major step forward in our understanding of Weyl algebras. Beginning with Serre's Theorem on free summands of projective modules and Bass' Stable Range Theorem in commutative algebra, we attempt to trace the origins of this work and explain how it led to ...
Gwyn Bellamy
wiley   +1 more source

Classification of Local Conformal Nets. Case c < 1

, 2002
We completely classify diffeomorphism covariant local nets of von Neumann algebras on the circle with central charge c less than 1. The irreducible ones are in bijective correspondence with the pairs of A-D_{2n}-E_{6,8} Dynkin diagrams such that the ...
Kawahigashi, Yasuyuki, Longo, Roberto
core   +4 more sources

From pathological to paradigmatic: A retrospective on Eremenko and Lyubich's entire functions

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract This paper surveys the impact of Eremenko and Lyubich's paper “Examples of entire functions with pathological dynamics”, published in 1987 in the Journal of the London Mathematical Society. Through a clever extension and use of classical approximation theorems, the authors constructed examples exhibiting behaviours previously unseen in ...
Núria Fagella, Leticia Pardo‐Simón
wiley   +1 more source