Results 201 to 210 of about 136,518 (295)

A Jordan–Chevalley decomposition beyond algebraic groups

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract We prove a decomposition of definable groups in o‐minimal structures generalizing the Jordan–Chevalley decomposition of linear algebraic groups. It follows that any definable linear group G$G$ is a semidirect product of its maximal normal definable torsion‐free subgroup N(G)$\mathcal {N}(G)$ and a definable subgroup P$P$, unique up to ...
Annalisa Conversano
wiley   +1 more source

Homotopical commutative rings and bispans

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract We prove that commutative semirings in a cartesian closed presentable ∞$\infty$‐category, as defined by Groth, Gepner, and Nikolaus, are equivalent to product‐preserving functors from the (2,1)‐category of bispans of finite sets. In other words, we identify the latter as the Lawvere theory for commutative semirings in the ∞$\infty$‐categorical
Bastiaan Cnossen   +3 more
wiley   +1 more source

Transcorrelated Theory with Pseudopotentials. [PDF]

open access: yesJ Chem Theory Comput
Simula K   +6 more
europepmc   +1 more source

Purity, ascent and periodicity for Gorenstein flat cotorsion modules

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract We investigate purity within the Frobenius category of Gorenstein flat cotorsion modules, which can be seen as an infinitely generated analogue of the Frobenius category of Gorenstein projective objects. As such, the associated stable category can be viewed as an alternative approach to a big singularity category, which is equivalent to Krause'
Isaac Bird
wiley   +1 more source

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