Results 31 to 40 of about 783 (126)

h$h$‐Function, Hilbert–Kunz density function and Frobenius–Poincaré function

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract Given ideals I,J$I,J$ of a noetherian local ring (R,m)$(R, \mathfrak {m})$ such that I+J$I+J$ is m$\mathfrak {m}$‐primary and a finitely generated R$R$‐module M$M$, we associate an invariant of (M,R,I,J)$(M,R,I,J)$ called the h$h$‐function.
Cheng Meng, Alapan Mukhopadhyay
wiley   +1 more source

Classes of modules closed under projective covers

Open Mathematics
In this work, we study some classes of modules closed under submodules, quotients, and projective covers, even if the left projective cover of an arbitrary left module not always exists. We obtain a characterization of artinian principal ideal rings when
Cejudo-Castilla César, García-Ramírez Ángel Raúl, Montalvo Ivan Fernando Vilchis   +2 more
doaj   +1 more source

Jacobson's conjecture and modules over fully bounded Noetherian rings [PDF]

, 1974
The object of this paper is to investigate finitely generated modules and injective modules over fully bounded Noetherian rings. Our main results on f.g.
Jategaonkar, Arun Vinayak
core   +1 more source

Higher representation stability for ordered configuration spaces

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
wiley   +1 more source

Injective modules over commutative noetherian rings [PDF]

, 1974
This thesis examines the structure of injective modules over commutative noetherian rings. The author shows that any injective module over a commutative noetherian ring can be written as a direct sum of indecomposable injective modules, where each ...
Staton, James Brooks, NC DOCKS at The University of North Carolina at Greensboro   +1 more
core  

Torsion pairs via the Ziegler spectrum

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We establish a bijection between torsion pairs in the category of finite‐dimensional modules over a finite‐dimensional algebra A$A$ and pairs (Z,I)$(\mathcal {Z},\mathcal {I})$ formed by a closed rigid set Z$\mathcal {Z}$ in the Ziegler spectrum of A$A$ and a set I$\mathcal {I}$ of indecomposable injective A$A$‐modules. This is as an extension
Lidia Angeleri Hügel, Rosanna Laking, Francesco Sentieri   +2 more
wiley   +1 more source

The asymptotic Mahler measure of Gaussian periods

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We construct a sequence of cyclotomic integers (Gaussian periods) of particularly small Mahler measure/height. We study the asymptotics of their Mahler measure as a function of their conductor, to find that the growth rate is the (multivariate) Mahler measure of a family of log Calabi–Yau varieties of increasing dimension.
Gunther Cornelissen, David Hokken, Berend Ringeling   +2 more
wiley   +1 more source

Prismatic F‐crystals and Wach modules

Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.
Abstract We show that the category of analytic/completed prismatic F-crystals$F\text{-crystals}$ on the absolute prismatic site of a small (unramified at p$p$) base ring is naturally equivalent to the category of relative Wach modules from the theory of (φ,Γ)-modules$(\varphi, \Gamma)\text{-modules}$.
Abhinandan
wiley   +1 more source

The singularity category and duality for complete intersection groups

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract If G$G$ is a finite group, the structure of the modular representation theory depends on the cochains C∗(BG;k)$C^*(BG; k)$, viewed as a commutative ring spectrum. We consider here its singularity category (in the sense of the author and Stevenson [Adv. Math.
J. P. C. Greenlees
wiley   +1 more source

Studies on the number theory of orders [PDF]

, 1982
Bibliography: pages 78-81.In the nineteenth century no distinction was drawn between maximal and nonmaximal orders in a numberfield. Most of the work on orders in this period was done by Dedekind and Kronecker.
Omar, Mohammed Rafiq
core   +1 more source