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b-Generalized derivations Acting on Multilinear Polynomials in Prime Rings

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Algebra Colloquium 2018年第4期25卷 681-700页

作者： Basudeb Dhara vincenzo de filippis department of Mathematics Belda CollegeBeldaPaschim Medinipur-721424India department of Engineering University of Messina98166MessinaItaly

Let R be a prime ring of characteristic different from 2,Q be its maximal right ring of quotients,and C be its extended *** that f(x1,...,xn)is a non-central multilinear polynomial over C,0≠p∈R,and F,G are two b-generalized derivations of *** this paper we describe all possible forms of F and G in the case pG(F(f(r))f(r))=0 for all r=(r1,...,rn)in R^n.

关键词： prime ring derivation generalized derivation b-generalized derivation

On Certain Identities with Automorphisms on Lie Ideals in Prime and Semiprime Rings

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Algebra Colloquium 2019年第1期26卷 93-104页

作者： vincenzo de filippis Nadeem ur Rehman department of Engineering University of Messina 98166 Messina Italy department of Mathematics Aligarh Muslim University Aligarh India

Let R be a prime ring of characteristic different from 2, Z(R) its center, L a Lie ideal of R, and m, n, s, t≥> 1 fixed integers with t ≤ m + n + s. Suppose that a is a non-trivial automorphism of R and let φ(x,y)=[x,y]^t -[x,y]^m[α([x,y]),[x,y]^n[x,y]^s. Thus,(a)if φ(u, v)= 0 for any u,v∈L, then L■Z(R);(b) if φ(u,v)∈ Z(R) for any u,v∈L, then either L■Z(R) or R satisfies S4, the standard identity of degree 4. We also extend the results to semiprime rings.

关键词： auto morphism (semi-) prime ring Lie ideal

Centralizers of X-Generalized Skew derivations on Multilinear Polynomials in Prime Rings

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Communications in Mathematics and Statistics 2018年第1期6卷 49-71页

作者： vincenzo de filippis Feng Wei MIFT University of Messina98166 MessinaItaly School of Mathematics and Statistics Beijing Institute of TechnologyBeijing 100081People’s Republic of China

Let R be a prime ring of characteristic different from 2,Q_(r) be its right MartindalequotientringandC beitsextendedcentroid,G beanonzero X-generalized skew derivation of R,and S be the set of the evaluations of a multilinear polynomial f(x_(1),...,x_(n))over C with n non-commuting *** u,v∈R be such that uG(x)x+G(x)xv=0 for all x∈*** one of the following statements holds:(a)v∈C and there exist a,b,c∈Q_(r) such that G(x)=ax+bxc for any x∈R with(u+v)a=(u+v)b=0;(b)f(x_(1),...,x_(n))2 is central-valued on R and there exists a∈Q r such that G(x)=ax for all x∈R with ua+av=0.

关键词： X-Generalized skew derivation Multilinear polynomial Prime ring

Generalized Skew derivations and Nilpotent Values on Lie Ideals

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Algebra Colloquium 2019年第4期26卷 589-614页

作者： vincenzo de filippis Onofrio Mario Di vincenzo Nanqing Ding department of Engineering University of Messina Viale F.Stagno D'Alcontres 3198166 MessinaItaly department of Mathematics and Computer Sciences University of Basilicata Viale dell}Ateneo LucanoMacchia Romana85100 PotenzaItaly 不详

Let R be a prime ring of characteristic different from 2 and 3,Qr be its right Martindale quotient ring and C be its extended *** that F and G are generalized skew derivations of R,L a non-central Lie ideal of R and n≥1 a fixed positive *** appropriate conditions we prove that if(F(x)x;—xG(x))^n=0 for all x∈L,then one of the following holds:(a)there exists c∈Qr such that F(x)=xc and G(e)=cx;(b)R satisfies S4 and there exist a,b,c∈Qr such that F(x)=ax+xc,G(x)=cx+xb and(a—b)^2=0.

关键词： generalized skew derivation prime ring

Methane cracking in molten tin for hydrogen and carbon production—a comparison with homogeneous gas phase process

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Frontiers of Chemical Science and Engineering 2024年第7期18卷 155-166页

作者： Emmanuel Busillo Benedetta de Caprariis Maria Paola Bracciale Vittoria Cosentino Martina Damizia Gaetano Iaquaniello Emma Palo Paolo de filippis Chemical Engineering department Sapienza University of RomeRome 00184Italy NextChem S.p.A. Rome 00156Italy

Methane cracking is considered a bridge technology between gray and green hydrogen production *** this work an experimental study of methane cracking in molten tin is *** tests were conducted in a quartz reactor(i.d.=1.5 cm,L=20 cm)with capillary injection,varying temperature(950–1070℃),inlet methane flow rate(30–60 mL·min^(-1))and tin height(0–20 cm).The influence of the residence time in the tin and in the headspace on methane conversion and on carbon morphology was *** conversions obtained in tin and in the empty reactor were measured and compared with results of detailed kinetic simulations(CRECK).Furthermore,an expression of a global kinetic constant for methane conversion in tin was also *** highest conversion(65%at Q_(0)=30 mL·min^(-1) and t=1070℃)is obtained for homogeneous gas phase reaction due to the long residence time(70 s),the presence of tin leads to a sharp decrease of residence time(1 s),obtaining a conversion of 35%at 1070℃,thus meaning that tin owns a role in the *** characterization(scanning electron microscopy,Raman)reported a change in carbon toward sheet-like structures and an increase of the carbon structural order in the presence of molten tin media.

关键词： methane cracking molten media H2 production carbon morphology

Harnessing the Power of Artificial Intelligence in Neuromuscular Disease Rehabilitation: A Comprehensive Review and Algorithmic Approach

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Advances in Bioscience and Biotechnology 2024年第5期15卷 289-309页

作者： Rocco de filippis Abdullah Al Foysal Institute of Psychopathology Rome Italy Computer Engineering (AI) University of Genova Genova Italy

Neuromuscular diseases present profound challenges to individuals and healthcare systems worldwide, profoundly impacting motor functions. This research provides a comprehensive exploration of how artificial intelligence (AI) technology is revolutionizing rehabilitation for individuals with neuromuscular disorders. Through an extensive review, this paper elucidates a wide array of AI-driven interventions spanning robotic-assisted therapy, virtual reality rehabilitation, and intricately tailored machine learning algorithms. The aim is to delve into the nuanced applications of AI, unlocking its transformative potential in optimizing personalized treatment plans for those grappling with the complexities of neuromuscular diseases. By examining the multifaceted intersection of AI and rehabilitation, this paper not only contributes to our understanding of cutting-edge advancements but also envisions a future where technological innovations play a pivotal role in alleviating the challenges posed by neuromuscular diseases. From employing neural-fuzzy adaptive controllers for precise trajectory tracking amidst uncertainties to utilizing machine learning algorithms for recognizing patient motor intentions and adapting training accordingly, this research encompasses a holistic approach towards harnessing AI for enhanced rehabilitation outcomes. By embracing the synergy between AI and rehabilitation, we pave the way for a future where individuals with neuromuscular disorders can access tailored, effective, and technologically-driven interventions to improve their quality of life and functional independence.

关键词： Neuromuscular Diseases Rehabilitation Artificial Intelligence Machine Learning Robotic-Assisted Therapy Virtual Reality Personalized Treatment Motor Function Assistive Technologies Algorithmic Rehabilitation

Evaluating Pharmacological and Rehabilitation Strategies for Effective Management of Bipolar Disorder: A Comprehensive Clinical Study

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Advances in Bioscience and Biotechnology 2024年第7期15卷 406-431页

作者： Rocco de filippis Abdullah Al Foysal department of Neuroscience Institute of Psychopathology Rome Italy department of Computer Engineering (AI) University of Genova Genova Italy

Bipolar disorder presents significant challenges in clinical management, characterized by recurrent episodes of depression and mania often accompanied by impairment in functioning. This study investigates the efficacy of pharmacological interventions and rehabilitation strategies to improve patient outcomes and quality of life. Utilizing a randomized controlled trial with multiple treatment arms, participants will receive pharmacotherapy, polypharmacotherapy, rehabilitation interventions, or combination treatments. Outcome measures will be assessed using standardized scales, including the Hamilton depression Scale, Yale-Brown Obsessive Compulsive Scale (Y-BOCS), and Mania Scale. Preliminary data suggest improvements in symptom severity and functional outcomes with combination treatments. This research aims to inform clinical practice, guide treatment decisions, and ultimately enhance the quality of care for individuals living with bipolar disorder. Findings will be disseminated through peer-reviewed journals and scientific conferences to advance knowledge in this field.

关键词： Bipolar Disorder (BD) Pharmacotherapy (PT) Rehabilitation Interventions (RI) Hamilton depression Scale (HAM-D) Yale-Brown Obsessive Compulsive Scale (Y-BOCS) Mania Scale (MS) Machine learning (ML) and Artificial Intelligence (AI).

Harnessing the Power of Artificial Intelligence in Neuromuscular Disease Rehabilitation:A Comprehensive Review and Algorithmic Approach

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Evaluating Pharmacological and Rehabilitation Strategies for Effective Management of Bipolar Disorder: A Comprehensive Clinical Study

Advances in Bioscience and Biotechnology（生命科学与技术进展） 2024年第5期 289页

作者： Rocco de filippis Abdullah Al Foysal

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