Results 61 to 70 of about 90,989 (277)
Hilbert series and applications to graded rings
International Journal of Mathematics and Mathematical Sciences, 2003 This paper contains a number of practical remarks on Hilbert series that we expect to be useful in various contexts. We use the fractional Riemann-Roch formula of Fletcher and Reid to write out explicit formulas for the Hilbert series P(t) in a number ...
Selma Altinok
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Journal of Algebra, 1995 Let \({\mathcal K}\) be a class of rings which is closed under homomorphic images, ring extensions, one-sided ideals and contains all rings with zero multiplication. Rings \(R=\bigoplus_{s\in S} R_s\) graded by finite groupoids \(S\) are considered. It is shown that the condition: for all finite groupoids \(S\) and all \(S\)-graded rings \(R\), \(R ...
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Bone tumours present significant challenges for affected patients, as multimodal therapy often leads to prolonged physical limitations. This is particularly critical during childhood and adolescence, as it can negatively impact physiological development and psychosocial resilience.
Jennifer Queisser +5 more
wiley +1 more source
Splines on Cayley graphs of the symmetric group
Forum of Mathematics, SigmaA spline is an assignment of polynomials to the vertices of a graph whose edges are labeled by ideals, where the difference of two polynomials labeling adjacent vertices must belong to the corresponding ideal. The set of splines forms a ring. We consider
Nathan R. T. Lesnevich
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Conditions ($S_q$) and ($G_q$) on graded rings
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2006 Let be a commutative noetherian gradedring. We study Serre's condition and Ischebeck-Auslander's conditionin the graduate case. Let be an integer, we characterize the -torsion freeness of graded modules on a -ring.
La Barbiera, M
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Groupoid graded semisimple rings
Journal of Algebra88 ...
Zaqueu Cristiano +2 more
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Introduction Patients with ovarian cancer often present with massive ascites, leading to significant protein loss during surgical procedures. Although cell‐free concentrated ascites reinfusion therapy (CART) is used in palliative settings to mitigate protein loss, its application in intraoperative settings remains unexplored.
Yutaka Yoneoka +7 more
wiley +1 more source
On graded Brown–McCoy radicals of graded rings [PDF]
Journal of Algebra and Its Applications, 2016 We investigate the graded Brown–McCoy and the classical Brown–McCoy radical of a graded ring, which is the direct sum of a family of its additive subgroups indexed by a nonempty set, under the assumption that the product of homogeneous elements is again homogeneous.
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An intracellular transporter mitigates the CO2‐induced decline in iron content in Arabidopsis shoots
FEBS Letters, EarlyView.This study identifies a gene encoding a transmembrane protein, MIC, which contributes to the reduction of shoot Fe content observed in plants under elevated CO2. MIC is a putative Fe transporter localized to the Golgi and endosomal compartments. Its post‐translational regulation in roots may represent a potential target for improving plant nutrition ...
Timothy Mozzanino +7 more
wiley +1 more source
Graded pseudo weakly prime spectrum of graded topological modules
Applied General TopologyIn this study, we introduce graded pseudo weakly prime submodules of G-graded R-modules, which are an extension of graded weakly prime ideals over G-graded rings. On the graded spectrum of graded pseudo weakly prime submodules, we investigate the Zariski
Tamem Al-Shorman +3 more
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