Results 31 to 40 of about 645,410 (117)
On the Lang–Trotter conjecture for Siegel modular forms
Mathematika, Volume 72, Issue 3, July 2026.Abstract Let f$f$ be a genus‐two cuspidal Siegel eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated with f$f$, generalizing the results of Ribet and Momose for elliptic modular forms. Using this result, we investigate the distribution of the Hecke eigenvalues ap$a_p$ of f$f$, and obtain upper
Arvind Kumar, Moni Kumari, Ariel Weiss
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A characterization result of cofinite local cohomology modules
, 2023 Let $R$ be a commutative Noetherian ring, $\fa$ an ideal of $R$, $M$ an arbitrary $R$-module and $N$ a finite $R$-module. We prove that \cite[Theorem 2.1]{Mel} and \cite[Proposition 3.3 (i)$\Leftrightarrow$(ii)]{B1} are true for any Serre subcategory of $
Melkersson, Leif, Aghapournahr, Moharram
core
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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Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.This paper investigates the application of β‐open sets to the convergence analysis of nonautonomous evolution equations governed by maximal monotone operators in Hilbert spaces. β‐open sets are a class of generalized open sets introduced by Njåstad (1965), which coincides with the class of semiopen sets by Levine (1963).
Boushra Abbas, Simeon Reich
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Some Properties of Serre Subcategories in the Graded Local Cohomology Modules
Journal of Mathematics, Volume 2017, Issue 1, 2017., 2017 Let R = ⊕n≥0Rn be a standard homogeneous Noetherian ring with local base ring (R0,m0) and let M be a finitely generated graded R‐module. Let HR+i(M) be the ith local cohomology module of M with respect to R+ = ⊕n>0Rn. Let S be a Serre subcategory of the category of R‐modules and let i be a nonnegative integer.
Feysal Hassani +2 more
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Cofinite graphs and their profinite completions
, 2017 We generalize the idea of cofinite groups, due to B. Hartley, [2]. First we define cofinite spaces in general. Then, as a special situation, we study cofinite graphs and their uniform completions.The idea of constructing a cofinite graph starts with ...
Bikash Das +2 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we introduce a novel type of open set, called βθ−I‐open sets, constructed by means of an ideal on a topological space. These sets broaden the classical definition of openness. Employing these ideal‐based generalized open sets, we investigate essential topological properties—including connectedness, hyperconnectedness, and extremal ...
Naeem Nisar Sheikh +3 more
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Generalized ⊕‐Radical Supplemented Modules
International Scholarly Research Notices, Volume 2014, Issue 1, 2014., 2014 Çalışıcı and Türkmen called a module M generalized ⊕‐supplemented if every submodule has a generalized supplement that is a direct summand of M. Motivated by this, it is natural to introduce another notion that we called generalized ⊕‐radical supplemented modules as a proper generalization of generalized ⊕‐supplemented modules. In this paper, we obtain
Burcu Nişancı Türkmen +3 more
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Bosonic ghostbusting -- The bosonic ghost vertex algebra admits a logarithmic module category with rigid fusion [PDF]
, 2020 The rank 1 bosonic ghost vertex algebra, also known as the βγ ghosts, symplectic bosons or Weyl vertex algebra, is a simple example of a conformal field theory which is neither rational, nor C2-cofinite. We identify a module category, denoted category F,
Allen, Robert +3 more
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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 +2 more
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