Results 31 to 40 of about 793 (143)
When do pseudo‐Gorenstein rings become Gorenstein?
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We discuss the relationship between the trace ideal of the canonical module and pseudo‐Gorensteinness. In particular, under certain mild assumptions, we show that every positively graded domain that is both pseudo‐Gorenstein and nearly Gorenstein is Gorenstein. As an application, we clarify the relationships among nearly Gorensteinness, almost
Sora Miyashita
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Torsion classes of extended Dynkin quivers over commutative rings
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract For a Noetherian R$R$‐algebra Λ$\Lambda$, there is a canonical inclusion torsΛ→∏p∈SpecRtors(κ(p)Λ)$\mathop {\mathsf {tors}}\Lambda \rightarrow \prod _{\mathfrak {p}\in \operatorname{Spec}R}\mathop {\mathsf {tors}}(\kappa (\mathfrak {p})\Lambda)$, and each element in the image satisfies a certain compatibility condition.
Osamu Iyama, Yuta Kimura
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Radical preservation and the finitistic dimension
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We introduce the notion of radical preservation and prove that a radical‐preserving homomorphism of left artinian rings of finite projective dimension with superfluous kernel reflects the finiteness of the little finitistic, big finitistic, and global dimension.
Odysseas Giatagantzidis
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On the local Kan structure and differentiation of simplicial manifolds
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We prove that arbitrary simplicial manifolds satisfy Kan conditions in a suitable local sense. This allows us to expand a technique for differentiating higher Lie groupoids worked out in [8] to the setting of general simplicial manifolds. Consequently, we derive a method to differentiate simplicial manifolds into higher Lie algebroids.
Florian Dorsch
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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
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Abelian Livšic theorems for Anosov flows
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We give two short proofs of the abelian Livšic theorem of Gogolev and Rodriguez Hertz. We show that these proofs may be extended to give new abelian Livšic theorems for positive density sets of null‐homologous orbits and for amenable covers.
Richard Sharp
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On Fico's Lemmata and the homotopy type of certain gyrations
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We undertake to determine the homotopy type of gyrations of sphere products and of connected sums, thereby generalising results known in earlier literature as ‘Fico's Lemmata’ which underpin gyrations in their original formulation from geometric topology.
Sebastian Chenery
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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
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Canonical forms of oriented matroids
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract Positive geometries are semialgebraic sets equipped with a canonical differential form whose residues mirror the boundary structure of the geometry. Every full‐dimensional projective polytope is a positive geometry. Motivated by the canonical forms of polytopes, we construct a canonical form for any tope of an oriented matroid inside the Orlik–
Christopher Eur, Thomas Lam
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Hinich's model for Day convolution revisited
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We prove that Hinich's construction of the Day convolution operad of two O$\mathcal {O}$‐monoidal ∞$\infty$‐categories is an exponential in the ∞$\infty$‐category of ∞$\infty$‐operads over O$\mathcal {O}$, and use this to give an explicit description of the formation of algebras in the Day convolution operad as a bivariant functor.
Christoph Winges
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