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On Split Regular Hom-Leibniz-Rinehart Algebras

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Journal of Mathematical Research with Applications 2022年第5期42卷 481-498页

作者： Shuangjian GUO Xiaohui ZHANG shengxiang wang School of Mathematical Sciences Qufu Normal University School of Mathematics and Finance Chuzhou University School of Mathematics and Statistics Guizhou University of Finance and Economics

In this paper, we introduce the notion of the Hom-Leibniz-Rinehart algebra as an algebraic analogue of Hom-Leibniz algebroid, and prove that such an arbitrary split regular Hom-Leibniz-Rinehart algebra L is of the form L=U+∑Iwith U a subspace of a maximal abelian subalgebra H and any I, a well described ideal of L, satisfying [I, I] = 0 if [γ]≠[δ].In the sequel, we develop techniques of connections of roots and weights for split Hom-LeibnizRinehart algebras, respectively. Finally, we study the structures of tight split regular Hom-Leibniz-Rinehart algebras.

关键词： Hom-Leibniz-Rinehart algebra root space weight space decomposition simple ideal

On the Structures of Hom-Lie Algebras

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Journal of Mathematical Research with Applications 2014年第4期34卷 459-466页

作者： shengxiang wang Xiaohui ZHANG School of Mathematics Sciences Chuzhou UniversityAnhui 239000P. R. China Department of Mathematics Southeast UniversityJiangsu 210096P. R. China

Let A be a multiplicative Hom-associative algebra and L a multiplicative Hom-Lie algebra together with surjective twisting maps. We show that if A is a sum of two commutative Hom-associative subalgebras, then the commutator Hom-ideal is nilpotent. Furthermore, we obtain an analogous result for Hom-Lie algebra L extending Kegel’s Theorem. Finally, we discuss the Hom-Lie ideal structure of a simple Hom-associative algebra A by showing that any non-commutative Hom-Lie ideal of A must contain [A, A].

关键词： Hom-associative algebra Hom-Lie algebra Kegel’s theorem.

Enhanced resonance frequency in Co2FeAl thin film with different thicknesses grown on flexible graphene substrate

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Chinese Physics B 2024年第3期33卷 618-622页

作者：周偲袁少康朱登玉白宇明王韬刘福福潘禄禄冯存芳张博涵何大平汪胜祥 Hubei Engineering and Technology Research Center for Functional Fiber Fabrication and Testing Wuhan Textile UniversityWuhan 430200China School of Electronic and Electrical Engineering Wuhan Textile UniversityWuhan 430200China School of Mathematical and Physical Sciences Wuhan Textile UniversityWuhan 430200China School of Integrated Circuits Huazhong University of Science and TechnologyWuhan 430074China Key Laboratory for Magnetism and Magnetic Materials Ministry of EducationLanzhou UniversityLanzhou 730000China Beijing National Center for Condensed Matter Physics and Institute of Physics Chinese Academy of SciencesBeijing 100190China Hubei Engineering Research Center of RF-Microwave Technology and Application Wuhan University of TechnologyWuhan 430070China

The flexible materials exhibit more favorable properties than most rigid substrates in flexibility,weight saving,mechanical reliability,and excellent environmental toughness.Particularly,flexible graphene film with unique mechanical properties was extensively explored in high frequency devices.Herein,we report the characteristics of structure and magnetic properties at high frequency of Co2FeAl thin film with different thicknesses grown on flexible graphene substrate at room temperature.The exciting finding for the columnar structure of Co2FeAl thin film lays the foundation for excellent high frequency property of Co2FeAl/flexible graphene structure.In-plane magnetic anisotropy field varying with increasing thickness of Co2FeAl thin film can be obtained by measurement of ferromagnetic resonance,which can be ascribed to the enhancement of crystallinity and the increase of grain size.Meanwhile,the resonance frequency which can be achieved by the measurement of vector network analyzer with the microstrip method increases with increasing thickness of Co2FeAl thin film.Moreover,in our case with graphene film,the resonance magnetic field is quite stable though folded for twenty cycles,which demonstrates that good flexibility of graphene film and the stability of high frequency magnetic property of Co2FeAl thin film grown on flexible graphene substrate.These results are promising for the design of microwave devices and wireless communication equipment.

关键词： enhanced resonance frequency magnetic resonance field flexible graphene substrate

From Braided Infinitesimal Bialgebras to Braided Lie Bialgebras

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Advances in Pure Mathematics 2017年第7期7卷 366-374页

作者： shengxiang wang Department of Mathematics Nanjing University Nanjing China School of Mathematics and Finance Chuzhou University Chuzhou China

The present paper is a continuation of [1], where we considered braided infinitesimal Hopf algebras (i.e., infinitesimal Hopf algebras in the Yetter-Drin feld category for any Hopf algebra H), and constructed their Drinfeld double as a generalization of Aguiar’s result. In this paper we mainly investigate the necessary and sufficient condition for a braided infinitesimal bialgebra to be a braided Lie bialgebra (i.e., a Lie bialgebra in the category ).

关键词： Braided Infinitesimal Bialgebra Braided Lie Bialgebra Yetter-Drinfeld Category Balanceator

On Hom-Lie Pseudo-Superalgebras

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Advances in Pure Mathematics 2016年第6期6卷 420-435页

作者： shengxiang wang Tingting Tao Department of Mathematics Nanjing University Nanjing China School of Mathematics and Finance Chuzhou University Chuzhou China

The aim of this article is to introduce the notion of Hom-Lie H-pseudo-superalgebras for any Hopf algebra H. This class of algebras is a natural generalization of the Hom-Lie pseudo-algebras as well as a special case of the Hom-Lie superalgebras. We present some construction theorems of Hom-Lie H-pseudo-superalgebras, reformulate the equivalent definition of Hom-Lie H-pseudo-super-algebras, and consider the cohomology theory of Hom-Lie H-pseudo-superalgebras with coefficients in arbitrary Hom-modules as a generalization of Kac’s result.

关键词： Hom-Associative Pseudo-Superalgebra Hom-Lie Pseudo-Superalgebra Hom-Lie Conformal Superalgebra Hom-Annihilation Superalgebra Cohomology

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基于软件化雷达的可重构信息处理架构设计

信息化研究 2024年第2期50卷 56-62页

作者：王圣翔程知敬周明阳俞亮亮南京电子技术研究所南京210039

为实现雷达信息处理系统快速研制与升级,本文提出了基于软件化雷达的可重构信息处理架构。首先,本文分析了国内外软件化可重构雷达的研究现状,随后提出了基于通用化物理层与中间件层、微服务组件层和应用层的可重构信息处理架构设计方... 详细信息

为实现雷达信息处理系统快速研制与升级,本文提出了基于软件化雷达的可重构信息处理架构。首先,本文分析了国内外软件化可重构雷达的研究现状,随后提出了基于通用化物理层与中间件层、微服务组件层和应用层的可重构信息处理架构设计方案。最后通过测试实验和理论计算验证了可重构架构的高可扩展性、可维护性和可靠性。本文提出的架构为现代可重构数字化雷达设计提供了基础和保障。

关键词：软件化雷达信息处理架构可重构微服务

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BiHom-Lie共形代数的上同调与形变

中国科学：数学 2022年第9期52卷 997-1014页

作者：郭双建张晓辉王圣祥贵州财经大学数学与统计学院贵阳550025 曲阜师范大学数学科学学院曲阜273165 滁州学院金融与数学学院滁州239000

本文首先引入BiHom-Lie共形代数的概念并研究它的上同调理论.随后,讨论正则BiHom-Lie共形代数的形变理论并给出一些具体应用.最后,引入BiHom-Lie共形代数的导子并研究它的性质.

关键词： BiHom-Lie共形代数上同调形变 Nijenhuis算子导子

西格列汀联合艾托格列净治疗2型糖尿病有效性和安全性的Meta分析

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沈阳药科大学学报 2022年第5期39卷 583-590页

作者：王声祥卢姗卢丹丹王倩潘丹河北中石油中心医院药学部河北廊坊065000

目的应用Meta分析方法评价DPP-4抑制剂西格列汀联合SGLT2抑制剂艾托格列净治疗2型糖尿病的有效性和安全性。方法检索PubMed、Embase、Medline、The Cochrane Library、CNKI、Ovid、EBSCO、CBM、VIP、SinoMed、万方数据库中关于西格列汀... 详细信息

目的应用Meta分析方法评价DPP-4抑制剂西格列汀联合SGLT2抑制剂艾托格列净治疗2型糖尿病的有效性和安全性。方法检索PubMed、Embase、Medline、The Cochrane Library、CNKI、Ovid、EBSCO、CBM、VIP、SinoMed、万方数据库中关于西格列汀联合艾托格列净治疗2型糖尿病的文献,检索范围均由建库至2021年4月,由两名研究者根据Cochrane系统评价方法筛选符合纳入标准的随机对照试验,并对纳入文献进行数据提取和偏倚风险评价后,采用RevMan5.0软件进行Meta分析。结果纳入的随机对照研究共3篇。Meta分析结果显示(1)艾托格列净5mg联合西格列汀100 mg治疗26周可降低糖化血红蛋白(HbA1c)[MD=-0.61,95%CI(-0.88,-0.35),P0.05);(4)联合治疗可增加生殖器真菌感染发生率,艾托格列净5 mg联合治疗组[OR=6.78,95%CI(2.35-19.58),P=0.0004];艾托格列净15 mg联合治疗组[OR=7.39,95%CI(2.57-21.21),P=0.0002]。结论艾托格列净联合西格列汀治疗26周与西格列汀单药治疗比较,更能有效降低糖化血红蛋白值,同时不增加不良事件发生率,但是联合用药应该关注生殖器真菌感染的发生情况。

关键词：西格列汀艾托格列净联合 2型糖尿病 Meta分析

对统一构建房屋建筑工程技术经济指标体系的探讨

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建设科技 2022年第21期 114-117页

作者：王圣祥永道工程咨询有限公司广州510623

本文通过建设项目投资控制的现状分析,提出统一构建基于房屋建筑工程技术经济指标体系的设想和建议,为建设项目的决策、实施和项目后评价提供有效的数据支持,以提高建设项目的投资决策水平和投资效益。

关键词：房屋建筑工程技术经济指标体系投资控制