Results 41 to 50 of about 65,303,466 (248)
Rings with polynomial identities: an elementary introduction
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Regular self-injective rings with a polynomial identity
This paper studies maximal quotient rings of semiprime P. I.-rings; such rings are regular, self-injective and satisfy a polynomial identity. We show that the center of a regular self-injective ring is regular self-injective; this enables us to establish
Stuart A. Steinberg +1 more
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ABSTRACT Objective Progression independent of relapse activity is a major determinant of long‐term disability in multiple sclerosis, but its immunopathologic basis remains incompletely understood. We investigated whether relapse‐independent progression in radiologically stable relapsing–remitting multiple sclerosis is associated with distinct ...
Antonio Bruno +19 more
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Objective This study aimed to investigate hand function trajectories over five years in primary hand osteoarthritis (OA). Additionally, determinants of baseline and longitudinal hand function were assessed. Methods A total of 538 patients with both baseline and five‐year study visits were analyzed.
Annemiek V. E. M. Olde Meule +4 more
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Objective Obesity, defined by body mass index (BMI) ≥30 kg/m2, is a risk factor for functional limitations in people with knee osteoarthritis (OA). However, function varies among such individuals. Our objective was to evaluate the implications of obesity subtypes on longitudinal patterns of physical functioning in people with or at risk for knee OA ...
Kristine Godziuk +7 more
wiley +1 more source
Permanental Polynomial Identities on Matrix Rings
Let \(\Gamma\) be a directed graph, \(V\) the set of vertices, \(e_ 1,\dots,e_ N\) the set of edges of \(\Gamma\). Let \(\Phi_ +(v)\) (resp. \(\Phi_ -(v)\)) be the number of the edges starting (resp. ending) in \(v\). \(\Gamma\) is called Eulerian if \(\Phi_ +(v) = \Phi_ -(v)\) for all \(v\in V\).
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Discordance Between Patient and Physician Global Assessments in Early Systemic Sclerosis
Objective This study aims to identify factors associated with patient global assessment (PtGA) and physician global assessment (PhGA) and discordance between them in systemic sclerosis (SSc). Methods Data from adults with early SSc (<5 years) from the Collaborative National Quality and Efficacy Registry were included.
Ellen Romich +35 more
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Objective Systemic lupus erythematosus (SLE) significantly impacts employment capacity. This study aimed to investigate the impact of burden of disease activity, damage, and treatment on employment outcomes and transitions in patients with SLE. Methods Using data from a single center, we analyzed employment transitions, adjusted mean disease activity ...
Javier Mencia‐Ledo +4 more
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Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
wiley +1 more source
Nil Semi-Groups of Rings with a Polynomial Identity [PDF]
The basic properties of associative rings R satisfying a polynomial identity p[x1…, xn] = 0 were obtained under the assumptions that the ring was an algebra [e.g., [4] Ch. X], or with rather strong restrictions on the ring of operators ([1]). But it is desirable to have these properties for arbitrary rings, and the present paper is the first of an ...
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