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Quadratic functionals and Jordan *-derivations [PDF]
Studia Mathematica, 1990 Let \(A\) be a real Banach \(*\)-algebra with identity. A Jordan \(*\)- derivation on \(A\) is a function \(D: A\to A\), not necessarily linear, with the properties \[ D(a+b)=D(a)+D(b), \qquad D(a^ 2)=aD(a)+D(a)a^* \] for all \(a,b\in a\). Now let \(X\) be a real vector space which is also an \(A\)- module.
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Open Mathematics, 2017 In calculus, an indefinite integral of a function f is a differentiable function F whose derivative is equal to f. The main goal of the paper is to generalize this notion of the indefinite integral from the ring of real functions to any ring.
Banič Iztok
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Study of Additively Regular Г -Semirings and Derivations
Discussiones Mathematicae - General Algebra and Applications, 2022 In this paper, the notions of commutator and derivation in additively regular -semirings with (A2, Г)-condition are introduced. We also characterize Jordan product for additively regular Г -semiring and establish some results which investigate the ...
Dadhwal Madhu, Neelam
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On generalized Jordan ∗-derivation in rings
Journal of the Egyptian Mathematical Society, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ur Rehman, Nadeem +2 more
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background Ischemic stroke, a major cause of mortality and long‐term disability, results from the abrupt cessation of cerebral blood flow due to vascular occlusion or rupture. Icosapent Ethyl (EPA‐EE), approved for hypertriglyceridemia, has anti‐inflammatory and antithrombotic properties that may lessen ischemic damage.
Mitra Mahmoudi Meymand +5 more
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Progressive Parkinsonism in PPP2R5D‐Related Neurodevelopmental Disorder
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT PPP2R5D‐related neurodevelopmental disorder (Houge–Janssens syndrome type 1) is a rare autosomal dominant condition characterized by macrocephaly, intellectual disability, and epilepsy. Progressive parkinsonism is an emerging adult phenotype that neurologists should be aware of since timely genetic diagnosis opens the door to disease‐modifying
Katerina Bernardi +6 more
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Commutativity of a 3-Prime near Ring Satisfying Certain Differential Identities on Jordan Ideals
Mathematics, 2020 The purpose of this study is to obtain the commutativity of a 3-prime near ring satisfying some differential identities on Jordan ideals involving derivations and multiplicative derivations.
Asma Ali, Inzamam ul Huque
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A Class of Nonlinear Nonglobal Semi-Jordan Triple Derivable Mappings on Triangular Algebras
Journal of Mathematics, 2021 In this paper, we proved that each nonlinear nonglobal semi-Jordan triple derivable mapping on a 2-torsion free triangular algebra is an additive derivation.
Xiuhai Fei, Haifang Zhang
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Note on differential identities on -prime rings with involution
Mathematics Open, 2023 The major goal of this paper is to investigate the structure of [Formula: see text]-prime rings with involution, satisfying certain [Formula: see text]-differential identities involving [Formula: see text]-centralizing and some special type of products ...
M. A. Madni +4 more
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Augmenting and Assaying Nav1.1 Protein Quantity for Dravet Syndrome Therapy
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Dravet Syndrome (DS) is a developmental and epileptic encephalopathy predominantly caused by heterozygous loss‐of‐function variants in SCN1A, which encodes Nav1.1. Conserved upstream open reading frames (uORFs) in SCN1A were validated to regulate translation in reporter assays, demonstrating the therapeutic viability of increasing Nav1.1 from ...
Aiswarya Saravanan +7 more
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