Results 31 to 40 of about 638,558 (261)
A Hyperstructural Approach to Semisimplicity
In this paper, we provide the basic properties of (semi)simple hypermodules. We show that if a hypermodule M is simple, then (End(M),·) is a group, where End(M) is the set of all normal endomorphisms of M. We prove that every simple hypermodule is normal
Ergül Türkmen +2 more
doaj +1 more source
Computing direct sum decompositions
We describe and prove correctness of two practical algorithms for finding indecomposable summands of finitely generated modules over a finitely generated k-algebra R. The first algorithm applies in the (multi)graded case, which enables the computation of indecomposable summands of coherent sheaves on subvarieties of toric varieties (in particular, for ...
Devlin Mallory, Mahrud Sayrafi
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ABSTRACT Background Children with sickle cell disease (SCD) face multiple acute and chronic medical complications that may impact their quality of life as reported by patients themselves. Health‐related social needs (HRSNs), such as food and housing insecurity, are common in people with SCD, but the association between HRSNs and patient‐reported ...
Sarah J. Marks +5 more
wiley +1 more source
ABSTRACT Primary cutaneous anaplastic large cell lymphoma (pcALCL) is a rare pediatric CD30‐positive T‐cell lymphoproliferative disorder with an excellent prognosis, but its genomic drivers are poorly defined. We report three children with skin‐limited disease demonstrating striking molecular heterogeneity, including NPM::ALK, NUP214::FRK, and a novel ...
Shoshana Greenberger +7 more
wiley +1 more source
ABSTRACT Background Combined oral contraceptive (COC) use in obese adult women dramatically increases the relative risk of developing a pulmonary embolism (PE). The risk of a PE in obese adolescent females taking contraceptives is currently unknown. The purpose of this investigation was to determine the effect of body mass index (BMI) and contraceptive
John Puetz, Joanne Salas
wiley +1 more source
DIRECT SUMS OF INFINITELY MANY KERNELS [PDF]
AbstractLet 𝒦 be the class of all rightR-modules that are kernels of nonzero homomorphisms φ:E1→E2for some pair of indecomposable injective rightR-modulesE1,E2. In a previous paper, we completely characterized when two direct sumsA1⊕⋯⊕AnandB1⊕⋯⊕Bmof finitely many modulesAiand Bjin 𝒦 are isomorphic.
ECEVIT S, FACCHINI, ALBERTO, KOSAN M. T.
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ABSTRACT Background Fertility preservation (FP) is increasingly integrated into the care of pediatric patients exposed to gonadotoxic therapy or conditioning for hematopoietic stem cell transplantation (HSCT), yet perioperative data in infants and toddlers remain scarce.
Kerstin Saalabian +13 more
wiley +1 more source
Direct Sum Decomposition of the Integers [PDF]
Denote by \(\mathbb{Z}(\mathbb{N})\) the set of all integers (all positive integers). If \(A,B\subseteq\mathbb{Z}\), then we put \(A+B= \{a+b: a\in A, b\in B\}\), \(A-B= \{a-b:a\in A, b\in B\}\). If \(A+B=\mathbb{Z}\) and every \(z\in\mathbb{Z}\) can be uniquely expressed in the form \(z=a+b\), then we write \(A\oplus B=\mathbb{Z}\) and \(\mathbb{Z ...
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ABSTRACT Background Central nervous system (CNS) neuroblastoma, FOXR2‐activated, is a recently recognized entity in the WHO CNS5 classification, defined by activation of the FOXR2 transcription factor and unique histopathological features. This review synthesizes available literature and pooled clinical data, providing insight into demographics ...
Sudarshawn Damodharan +1 more
wiley +1 more source
Extended Weyl-Type Theorems for Direct Sums
In this paper, we study the stability of extended Weyl and Browdertype theorems for orthogonal direct sum S⊕T, where S and T are bounded linear operators acting on Banach space.
Berkani M., Kachad M., Zariouh H.
doaj +1 more source

