Results 81 to 90 of about 8,071 (246)

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
wiley   +1 more source

Ideal Dasar Prima Dalam Aljabar Atas Suatu Ring Komutatif

Jurnal Fourier, 2018
Definisi ideal dasar dan ideal bebas dalam aljabar bebas atas ring komutatif dengan elemen satuan adalah ekuivalen. Namun, ideal dasar dalam suatu aljabar tak bebas belum tentu merupakan ideal bebas, sementara ideal bebas pasti ideal dasar.
Khurul Wardati
doaj   +1 more source

An algorithm for generating generalized splines on graphs such as complete graphs, complete bipartite graphs and hypercubes

AKCE International Journal of Graphs and Combinatorics, 2020
An edge labeled graph is a graph whose edges are labeled with non-zero ideals of a commutative ring . A Generalized Spline on an edge labeled graph is a vertex labeling of by elements of the ring , such that the difference between any two adjacent vertex
Radha Madhavi Duggaraju, Lipika Mazumdar
doaj   +1 more source

ON QUASI-COMMUTATIVE RINGS

Journal of the Korean Mathematical Society, 2016
The authors define a ring \(R\) (associative with identity) to be \textit{quasi-commutative} if \(ab\) is in the center of \(R\) for all \(a\in C_{f(x)}\) and \(b\in C_{g(x)}\) whenever \(f(x)\) and \(g(x)\) are in the center of the polynomial ring \(R[x]\). Here \(C_{h(x)}\) denotes the set of all coefficients of the polynomial \(h(x)\).
Jung, Da Woon, Kim, Byung-Ok, Kim, Hong Kee, Lee, Yang, Nam, Sang Bok, Ryu, Sung Ju, Sung, Hyo Jin, Yun, Sang Jo   +7 more
openaire   +2 more sources

Upper Cohen-Macaulay Dimension

, 2004
In this paper, we define a homological invariant for finitely generated modules over a commutative noetherian local ring, which we call upper Cohen-Macaulay dimension.
Tokuji Araya, Yoshino, Yuji, Takahashi, Ryo, Ryo Takahashi, Yuji Yoshino, Araya, Tokuji   +5 more
core   +1 more source

On matrix Lie rings over a commutative ring that contain the special linear Lie ring [PDF]

, 2016
summary:Let $K$ be an associative and commutative ring with $1$, $k$ a subring of $K$ such that $1\in k$, $n\geq 2$ an integer. The paper describes subrings of the general linear Lie ring $gl_{n} ( K )$ that contain the Lie ring of all traceless matrices
Pekönür, Esra, Bashkirov, Evgenii L.
core   +1 more source

Multi‐Mode Deep Strong Coupling in a Multi Quantum Well Fabry–Perot Cavity

Advanced Optical Materials, Volume 14, Issue 21, 5 June 2026.
Multi‐mode deep‐strong coupling is demonstrated in a 166‐well heterostructure that acts as a Fabry–Perot cavity. Even cavity modes couple strongly to the cyclotron resonance, producing large vacuum Rabi splittings and a rich polaritonic spectrum captured by a full Hopfield model.
Lucy Hale, Johan Andberger, Ethan Koskas, Frieder Lindel, Mattias Beck, Giacomo Scalari, Jérôme Faist   +6 more
wiley   +1 more source

On commutative endomorphism rings [PDF]

Pacific Journal of Mathematics, 1970
This note deals with a finitely generated faithful module E over a commutative semi-prime noetherian ring R, with commutative endomorphism ring HomJ2(Er, E) = Ω(E). It is shown that E is identifiable to an ideal of R whenever Ω(E) lacks nilpotent elements; a class of examples with Ω(E) commutative but not semi-prime is discussed.
openaire   +2 more sources

Early microglial response to amyloid plaques drives sleep loss in Alzheimer's disease

Alzheimer's &Dementia, Volume 22, Issue 6, June 2026.
Abstract INTRODUCTION Sleep disruption is an early feature of Alzheimer's disease (AD), but the cellular mechanisms linking amyloid pathology to sleep loss remain unclear. METHODS Electroencephalography/electromyography (EEG/EMG) recordings, quantitative EEG analysis, and sleep deprivation were performed in APPswe/PSEN1dE9 (APP/PS1) mice at different ...
Nicholas J. Constantino, Riley E. Irmen, Matthew J. Lanning, Sierra M. Turner, Clair C. Ashley, Caitlin M. Carroll, Evan M. Neary, Dave Rubinow, J. Andy Snipes, Shannon L. Macauley   +9 more
wiley   +1 more source

Jordan ?-Centralizers of Prime and Semiprime Rings

مجلة بغداد للعلوم, 2010
The purpose of this paper is to prove the following result: Let R be a 2-torsion free ring and T: R?R an additive mapping such that T is left (right) Jordan ?-centralizers on R.
Baghdad Science Journal
doaj   +1 more source