Results 41 to 50 of about 40,225 (280)
Near-Rings Associated with Matched Pairs on Ring Modules [PDF]
Let G be a module over a ring R, let C = { C i } , i ∈ I \mathcal {C} = \{ {C_i}\}, i \in I , be a family of submodules of G, and let H = { H
Maxson, C. J., van der Walt, A. P. J.
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Simplicity of Ore monoid rings
Given a non-associative unital ring $R$, a monoid $G$ and a set $\pi$ of additive maps $R \rightarrow R$, we introduce the Ore monoid ring $R[\pi ; G]$, and, in a special case, the differential monoid ring.
Nystedt, Patrik +2 more
core +1 more source
ABSTRACT Background Oral mucositis is a common and debilitating side effect of childhood cancer and stem cell transplant treatments. It affects the quality of life of children and young people (CYP) and places a strain on services. Photobiomodulation is recommended for oral mucositis prevention in international guidance but is poorly implemented in UK ...
Claudia Heggie +4 more
wiley +1 more source
On isomorphisms of standard operator algebras
The aim of this paper is to show that between standard operator algebras every bijective map with a certain multiplicativity property related to Jordan triple isomorphisms of associative rings is automatically additive.Comment: 8 pages.
Molnar, Lajos
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Clinical Insights Into Hypercalcemia of Malignancy in Childhood
ABSTRACT Hypercalcemia of malignancy (HCM) is a rare but life‐threatening metabolic emergency in children that occurs in less than 1% of pediatric cancer cases, with a reported incidence ranging from 0.4% to 1.0% across different studies. While it is observed in 10%–20% of adult malignancies, pediatric HCM remains relatively uncommon.
Hüseyin Anıl Korkmaz
wiley +1 more source
Algebraic Properties of Quasigroup Under Q-neutrosophic Soft Set [PDF]
The novel concept called neutrosophic set was launched to take care of indeterminate factors in real-life data. The hybrid model of neutrosophic set and soft set has been widely studied in different areas of algebra, especially in associative structures ...
Benard Osoba +2 more
doaj +1 more source
Finite power-associative division rings [PDF]
The author proves the well-known theorem: ``A finite strictly power-associative division ring of characteristic \(\neq 2\) is a field'' without using the classification of central simple Jordan algebras, as in Albert's proof [cf. \textit{R. D. Schafer}, An introduction to nonassociative algebras. New York etc.: Academic Press (1966; Zbl 0145.25601), p.
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ABSTRACT Purpose Retinoblastoma (RB) is the most common pediatric ocular cancer, yet population‐based data on survival and risk factors remain limited. This study aimed to describe survival in a large national RB cohort and identify predictors of death and complications.
Samuel Sassine +14 more
wiley +1 more source
ABSTRACT Objective To evaluate selumetinib exposure using therapeutic drug monitoring (TDM) in pediatric patients with neurofibromatosis type 1 (NF1) and plexiform neurofibromas (PN), assess interpatient pharmacokinetic variability, and explore the relationship between drug exposure, clinical response, and adverse effects.
Janka Kovács +8 more
wiley +1 more source
A Ring Associated with a Near-Ring
Let \(N\) be a right abelian near-ring with identity. The set of all right multiplication maps on \(N\) generates a ring \(R\) which is a subring of \(\text{End}(N)\). The main results are the following ones: 1. If \(N\) is a finite near-field with center \(K\) and \(\dim_KN=n\), then \(R\) is isomorphic to \(M_n(K)^K\). 2.
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