Results 31 to 40 of about 643,665 (260)
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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DIRECT SUMS OF INFINITELY MANY KERNELS [PDF]
AbstractLet đŠ be the class of all rightR-modules that are kernels of nonzero homomorphisms Ï:E1âE2for some pair of indecomposable injective rightR-modulesE1,E2. In a previous paper, we completely characterized when two direct sumsA1ââŻâAnandB1ââŻâBmof finitely many modulesAiand Bjin đŠ are isomorphic.
ECEVIT S, FACCHINI, ALBERTO, KOSAN M. T.
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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
ErgĂŒl TĂŒrkmen +2 more
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Solid Pseudopapillary Neoplasm of the Pancreas in Children and Adolescents: Expert Recommendations
ABSTRACT Solid pseudopapillary neoplasm of the pancreas (SPN) is a rare lowâgrade malignant exocrine pancreatic tumor, mostly discovered during the second decade of life in females, with a very good prognosis, provided microscopically complete surgical excision is achieved.
Sabine Irtan +18 more
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ABSTRACT As part of the European Cooperative Study Group for Paediatric Rare Tumours initiative, we developed standard clinical practice guidelines for ovarian sex cord stromal tumors, based on comprehensive national and international cohort analyses, literature review, and a final expert consensus conference.
Dominik T. Schneider +15 more
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Acute Neurological Events in Children With Hemoglobin SC Disease: A Multicenter Retrospective Study
ABSTRACT Introduction Neurological manifestations in children with hemoglobin SC (HbSC) disease remain insufficiently characterized, particularly regarding acute events. The aim of this study was to describe the spectrum and frequency of acute neurological events in a multicenter cohort of children with HbSC disease.
Célia Paulmin +11 more
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ABSTRACT Background Embryonal tumors comprise the majority of malignant central nervous system (CNS) neoplasms diagnosed in children under 3Â years of age. Compared with their counterparts in older children, these tumors exhibit distinct molecular biology and a more aggressive clinical phenotype, while their management is complicated by the heightened ...
Sudarshawn Damodharan +3 more
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Order Ideals on Lexicographic Direct Sum of Three Totally Ordered Abelian Groups
Order ideals play an important role in the study of abstract algebra, especially in the study of ordered groups. In this paper, we focus on the study of order ideals in lexicographic direct sums of totally ordered Abelian groups.
Dian Latifah +3 more
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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 The Standards for Psychosocial Care for Children with Cancer and Their Families (âStandardsâ) are evidenceâbased guidelines for psychosocial care in pediatric oncology. Care related to the three âAsking and Monitoringâ StandardsâAssessment of Psychosocial Needs, Assessment of Financial Needs, and Monitoring Neurocognitive Problems ...
Julia B. Tager +8 more
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