Derivations of two-step nilpotent Leibniz algebras

In this paper we study the Lie algebras of derivations of two-step nilpotent Leibniz algebras. We obtain a class of Lie algebras with trivial center and abelian ideal of inner derivations. Among these, the relations between the complex and the real case of the indecomposable Heisenberg Leibniz algebras are thoroughly described. Finally we show that every almost inner derivation of a complex nilpotent Leibniz algebra with one-dimensional commutator ideal, with three exceptions, is an inner derivation.Comment: arXiv admin note: text overlap with arXiv:2106.1290

Non-nilpotent Leibniz algebras with one-dimensional derived subalgebra

In this paper we study non-nilpotent non-Lie Leibniz $\mathbb{F}$-algebras with one-dimensional derived subalgebra, where $\mathbb{F}$ is a field with $\operatorname{char}(\mathbb{F}) \neq 2$. We prove that such an algebra is isomorphic to the direct sum of the two-dimensional non-nilpotent non-Lie Leibniz algebra and an abelian algebra. We denote it by $L_n$, where $n=\dim_{\mathbb{F}} L_n$. This generalizes the result found in [11], which is only valid when $\mathbb{F}=\mathbb{C}$ . Moreover, we find the Lie algebra of derivations, its Lie group of automorphisms and the Leibniz algebra of biderivations of $L_n$. Eventually, we solve the coquecigrue problem for $L_n$ by integrating it into a Lie rack

Isotopisms of nilpotent Leibniz algebras and Lie racks

In this paper we study the isotopism classes of two-step nilpotent Leibniz algebras. We show that every nilpotent Leibniz algebra with one-dimensional commutator ideal is isotopic to the Heisenberg algebra $\mathfrak{h}_{2n+1}$ or to the Heisenberg Leibniz algebra $\mathfrak{l}_{2n+1}^{J_1}$, where $J_1$ is the $n \times n$ Jordan block of eigenvalue $1$. We also prove that two such algebras are isotopic if and only if the Lie racks integrating them are isotopic. This gives the classification, up to isotopism, of Lie racks whose tangent space at the unit element is a nilpotent Leibniz algebra with commutator ideal of dimension one. Eventually we introduce new isotopism invariants for Leibniz algebras and Lie racks.Comment: arXiv admin note: text overlap with arXiv:2106.1290

Non-Nilpotent Leibniz Algebras with One-Dimensional Derived Subalgebra

In this paper we study non-nilpotent non-Lie Leibniz F-algebras with one-dimensional derived subalgebra, where F is a field with char(F) different from 2 . We prove that such an algebra is isomorphic to the direct sum of the two-dimensional non-nilpotent non-Lie Leibniz algebra and an abelian algebra. We denote it by L_n , where n=dimL_n. This generalizes the result found in Demir et al. (Algebras and Representation Theory 19:405-417, 2016), which is only valid when F=C. Moreover, we find the Lie algebra of derivations, its Lie group of automorphisms and the Leibniz algebra of biderivations of L_n. Eventually, we solve the coquecigrue problem for L_n by integrating it into a Lie rack

Modelo de gestión de riesgos para proyectos de suministro de estructuras metálicas

Publicación a texto completo no autorizada por el autorLa presente investigación tiene como objetivo principal gestionar los impactos sobre los costos, tiempo y calidad en los Proyectos de Suministro de Estructuras Metálicas y para ello, por medio de una selección comparativa de metodologías de gestión de proyectos, se ha considerado la base teórica de Gestión de Riesgos de Proyectos de la Guía de Gestión de Proyecto del PMI por ser la herramienta con mayor aceptación y uso profesional a nivel mundial. La metodología de Gestión de Riesgos desarrollada guarda una estructura muy similar a la estructura propuesta por el PMI en la guía del PMBOK 5ta Edición, que va desde la identificación de los riesgos hasta la planificación y control de los mismos. Existen algunas diferencias en los documentos de entrada, salidas y herramientas y técnicas empleadas. Estos han sido adaptados según las particularidades del Caso de Estudio para que como resultado final y bajo el enfoque de que el riesgo se asume como una desviación del nivel deseado (Dziadosz A. & Rejment M., 2015), se plantean planes de respuesta a los riesgos y se establece la línea base de comparación de los niveles de aceptación de los riesgos, lo que permitirá contrastar la validez de los supuestos considerados en la formulación de estos planes de respuesta, detectar variaciones en los riesgos para registrarlos, dando lugar a una nueva iteración del proceso de gestión de riesgos de proyecto. El presente modelo pretende ser un ejemplo de implementación de una metodología de gestión de riesgos, que demuestre su importancia y su relación con el cumplimiento de los objetivos del proyecto, cuyo uso sea un referente sujeto a mejoras o adaptaciones según las características del proyecto de Suministro de Estructuras Metálicas asociado.Tesi

Effectiveness of the preventive administration of vasoactive amines in counterbalancing significant patient blood pressure drops following nimodipine administration during mechanical thrombectomy procedures

BACKGROUND Focal vasospasm (FV) of the occluded vessel can occur during the endovascular treatment of acute ischemic stroke (AIS). Nimodipine is commonly used to treat vasospasm and can play a role in distinguishing it from artery narrowing due to iatrogenic dissection or residual clot. However, nimodipine administration can result in arterial hypotension and subsequent enlargement of the ischemic core. OBJECTIVE To assess the efficacy of preventive and continuous vasoactive amine infusion to counterbalance nimodipine-induced hypotension. METHODS We reviewed data from a prospective registry of patients treated for AIS between January 2019 and January 2022 who were administered nimodipine. All patients were equipped with an arterial cannula for invasive blood pressure measurement and given vasoactive amines preemptively before general anesthesia and throughout the procedure. Data obtained from invasive monitoring of mean arterial blood pressure (MABP) in a time-lapse of 25 min before and after nimodipine administration were analyzed. RESULTS MABP significantly decreased after nimodipine administration but remained within the recommended range (81.79 ± 0.49 mmHg). Nimodipine was effective in reducing FV caused by stent retriever passage in 76.3% of cases. Furthermore, it proved valuable in diagnosing iatrogenic dissection (9.2%), residual clot (10.5%), or intracranial stenosis (4%). CONCLUSIONS Infusion of vasoactive amines effectively counteracted the intraarterial nimodipine effect, thus avoiding frank arterial hypotension during endovascular treatment. Nimodipine has been useful in differentiating the diagnosis of FV resulting from mechanical thrombectomy and other potential causes, such as iatrogenic dissection or residual clot

Presencia de Hemoparásitos en Tortugas Motelo (Chelonoides denticulata) (Linnaeus, 1766) Comercializadas en el Mercado de Belén, Iquitos, Perú

The aim of this study was to identify and determine the presence of blood parasites in yellow-footed tortoises sold in the market of Belen, Iquitos, Peru and their association with sex, body weight, hematocrit and parasitemia. Blood samples were collected from 47 tortoises in July 2010. The thin blood smears with Giemsa, the microcapillary Woo technique and the Buffy coat technique were used for the identification of the haemoparasites. The results showed the presence of Haemogregarina sp in 74.5% of the samples, being 68.8% in females and 86.7% in males. There were mature gamonts (11.09 ± 1.42 μm length x 5.82 ± 0.76 μm wide) and inmature gamonts (14.85 ± 0.69 μm x 3.26 ± 0.41 μm). There were no significant differences between the presence of the parasite and the variables sex, weight, hematocrit and parasitemia level.El objetivo del presente estudio fue identificar y determinar la presencia de hemoparásitos en tortugas motelo comercializadas en el mercado de Belén, Iquitos, Perú, así como su asociación con las variables sexo, peso, hematocrito y parasitemia. Se colectaron muestras de sangre de 47 tortugas en julio de 2010. Se utilizaron las técnicas de frotis sanguíneo delgado con Giemsa, microcapilar de Woo y técnica de capa blanca o ‘Buffy coat’ para la identificación de los hemoparásitos. Se encontró la presencia de Haemogregarina sp, con una frecuencia de 74.5%, siendo de 68.8% en hembras y 86.7% en machos. Se encontraron gamontes maduros (11.09 ± 1.42 µm de longitud x 5.82 ± 0.76 µm de ancho) e inmaduros (14.85 ± 0.69 µm x 3.26 ± 0.41 µm). No se encontró diferencia significativa entre la presencia del parásito con las variables sexo, peso, hematocrito y nivel de parasitemia

Disability assessment using Google Maps

Objectives To evaluate the concordance between Google Maps  application (GM ) and clinical practice measurements of ambulatory function (e.g., Ambulation Score (AS) and respective Expanded Disability Status Scale (EDSS)) in people with multiple sclerosis (pwMS). Materials and methods This is a cross-sectional multicenter study. AS and EDSS were calculated using GM  and routine clinical methods; the correspondence between the two methods was assessed. A multinomial logistic model is investigated which demographic (age, sex) and clinical features (e.g., disease subtype, fatigue, depression) might have influenced discrepancies between the two methods. Results Two hundred forty-three pwMS were included; discrepancies in AS and in EDDS assessments between GM  and routine clinical methods were found in 81/243 (33.3%) and 74/243 (30.4%) pwMS, respectively. Progressive phenotype (odds ratio [OR] = 2.8; 95% confidence interval [CI] 1.1–7.11, p = 0.03), worse fatigue (OR = 1.03; 95% CI 1.01–1.06, p = 0.01), and more severe depression (OR = 1.1; 95% CI 1.04–1.17, p = 0.002) were associated with discrepancies between GM  and routine clinical scoring. Conclusion GM  could easily be used in a real-life clinical setting to calculate the AS and the related EDSS scores. GM  should be considered for validation in further clinical studies

Sexual Dysfunction in People with Multiple Sclerosis: The Role of Disease Severity, Illness Perception, and Depression

Despite being a common issue in people with multiple sclerosis (pwMS), sexual dysfunction is still underinvestigated. This work aims to assess the potential determinants of sexual dysfunction in pwMS by considering its relationship with disease severity (in terms of global disability), illness perception, and depressive symptoms. In this multicenter study, 1010 pwMS responded to an online survey. A serial mediation model considering negative illness perception and depressive symptoms as mediators of the relationship between disease severity and sexual dysfunction was conducted using the SPSS PROCESS Macro with bias-corrected bootstrapping (5000 samples). Disease severity exerts an indirect effect on sexual dysfunction via illness perception, both independently and through depressive symptoms. However, the results indicated that illness perception plays a more crucial role in sexual dysfunction in pwMS with mild disability than in pwMS with moderate-severe disability. This study suggests that higher disability increases its magnitude by enhancing negative illness perception, that, in turn, affects sexual dysfunction both directly and through depressive symptoms, especially in pwMS with mild disability. Modulating the effect of illness perception by favoring adaptive coping strategies might represent a valid approach to mitigate sexual dysfunction symptoms in MS