Results 81 to 90 of about 149,438 (204)
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 +4 more
wiley +1 more source
Residually rationally solvable one‐relator groups
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We show that the intersection of the rational derived series of a one‐relator group is rationally perfect and is normally generated by a single element. As a corollary, we characterise precisely when a one‐relator group is residually rationally solvable.
Marco Linton
wiley +1 more source
, 2003 We derive the Abelian - like expression for the lattice SU(N) Wilson loop in arbitrary irreducible representation. The continuum Abelian representation of the SU(N) Wilson loop (for the loop without selfintersections) that has been obtained by Diakonov ...
B.L.G. Bakker +7 more
core +1 more source
Addition Theorems for Finite Abelian Groups
Journal of Number Theory, 1995 Sei \(G\) eine abelsche Gruppe der Ordnung \(n\) und \(S= (a_1, \dots, a_k)\) eine Folge von Elementen aus \(G\), wobei Wiederholungen erlaubt sind. Für \(r\) mit \(1\leq r< k\) wird definiert \(\sum_{\leq r} (S):= \{a_{i_1}+ \dots+ a_{i_l}\mid 1\leq i_1< \dots< i_l\leq k\); \(1\leq \ell\leq r\}\) und \(\sum_r (S):= \{a_{i_1}+ \dots+ a_{i_r}\mid 1\leq ...
openaire +2 more sources
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
wiley +1 more source
Reflexivity in Derived Categories
, 2009 An adjoint pair of contravariant functors between abelian categories can be extended to the adjoint pair of their derived functors in the associated derived categories.
Mantese, Francesca, Tonolo, Alberto
core +1 more source
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
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
A note on the quasi‐local algebra of expander graphs
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We show that the quasi‐local algebra of a coarse disjoint union of expander graphs does not contain a Cartan subalgebra isomorphic to ℓ∞$\ell _\infty$. Ozawa has recently shown that these algebras are distinct from the uniform Roe algebras of expander graphs, and our result describes a further difference.
Bruno M. Braga +2 more
wiley +1 more source