Results 11 to 20 of about 1,830 (58)

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
wiley   +1 more source

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

Noetherianity of some degree two twisted commutative algebras

, 2015
In recent years, researchers have discovered various large algebraic structures that have surprising finiteness properties, such as FI-modules and Delta-modules.
Nagpal, Rohit, Sam, Steven V, Snowden, Andrew   +2 more
core   +1 more source

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

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

Stratifying derived categories of cochains on certain spaces

, 2011
In recent years, Benson, Iyengar and Krause have developed a theory of stratification for compactly generated triangulated categories with an action of a graded commutative Noetherian ring.
A. Lazarev, A. Neeman, A.K. Bousfield, B. Shipley, D. Benson, D. Benson, D. Benson, J.P.C. Greenlees, M.J. Hopkins, Shoham Shamir, V.M. Buchstaber, W. Bruns, W.G. Dwyer, W.G. Dwyer, W.G. Dwyer, W.G. Dwyer, Y. Félix   +16 more
core   +1 more source

b‐Filter Grade of an Ideal a for Triangulated Categories

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Let a and b be two homogeneous ideals in a graded‐commutative Noetherian ring R, and let X be an object in a compactly generated R‐linear triangulated category T. We introduce the notion of the b‐filter grade of a on X, denoted by f‐gradb,a,X, and provide several characterizations and bounds for this invariant. In addition, we explore the relationships
Li Wang, Hailong Yao, Caihui Lan, Xuexia Dai, Elena Guardo   +4 more
wiley   +1 more source

Nontriviality of rings of integral‐valued polynomials

Mathematische Nachrichten, Volume 298, Issue 12, Page 3974-3994, December 2025.
Abstract Let S$S$ be a subset of Z¯$\overline{\mathbb {Z}}$, the ring of all algebraic integers. A polynomial f∈Q[X]$f \in \mathbb {Q}[X]$ is said to be integral‐valued on S$S$ if f(s)∈Z¯$f(s) \in \overline{\mathbb {Z}}$ for all s∈S$s \in S$. The set IntQ(S,Z¯)${\mathrm{Int}}_{\mathbb{Q}}(S,\bar{\mathbb{Z}})$ of all integral‐valued polynomials on S$S ...
Giulio Peruginelli, Nicholas J. Werner
wiley   +1 more source

The shift‐homological spectrum and parametrising kernels of rank functions

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract For any compactly generated triangulated category, we introduce two topological spaces, the shift spectrum and the shift‐homological spectrum. We use them to parametrise a family of thick subcategories of the compact objects, which we call radical.
Isaac Bird, Jordan Williamson, Alexandra Zvonareva   +2 more
wiley   +1 more source

Derived categories of representations of small categories over commutative noetherian rings

, 2015
We study the derived categories of small categories over commutative noetherian rings. Our main result is a parametrization of the localizing subcategories in terms of the spectrum of the ring and the localizing subcategories over residue fields.
Antieau, Benjamin, Stevenson, Greg
core   +1 more source