检索结果-南通市图书馆

The Extension Dimension of Subcategories and Recollements of Abelian Categories

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2024年第4期40卷 1042-1058页

作者： Xin MA Ye Yang p.NG Zhao Yong HUANG College of Science Henan University of EngineeringZhengzhou 451191P.R.China Dep.rtment of Mathematics Nanjing UniversityNanjing 210093P.R.China

We investigate the behavior of the extension dimension of subcategories of abelian categories under ***Λ',Λ,Λ"be art in algebras such that(modΛ',mod A,modΛ")is a recollement,and let D'and D"be subcategories of modΛand modΛ"*** any n,m≥0,under some conditions,we get dimΩ^(k)(D)≤dimΩ^(n)(D')+dimΩ^(m)(D")+1,where k=max{m,n}and D is the subcategory of modΛglued by D'and D";moreover,we give a sufficient condition such that the converse inequality holds *** ap.lications,some results for Igusa-Todorov subcategories and syzygy finite sub categories are obtained.

关键词： Recollements extension dimension Igusa–Todorov subcategories syzygy finite subcategories

Sp.celike Framed Curves with Lightlike Comp.nents and Singularities of Their Evolutes and Focal Surfaces in Minkowski 3-sp.ce

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2024年第6期40卷 1521-1532页

作者： p.ng Cheng LI Dong He p.I Xin ZHAO School of Mathematics and Statistics Northeast Normal UniversityChangchun 130024P.R.China Dep.rtment of Mathematics Harbin Institute of TechnologyWeihai 264209P.R.China School of Mathematics and Statistics Qingdao UniversityQingdao 266071P.R.China

In this p.p.r,we define the evolute and focal surface of a sp.celike framed curve with lightlike comp.nents in Minkowski *** is a generalization of the p.evious results of regular sp.celike curves,since singularities are allowed in the original sp.celike curves studied by sp.celike framed curves with lightlike ***,we show a new geometric invariant to characterise singularities of the focal ***,the classification theorem and recognition theorem for the singularities of the focal surface in generic are also given.

关键词： Evolutes focal surfaces sp.celike framed curves singularities

Quantum Curve and Bilinear Fermionic Form for the Orbifold Gromov–Witten Theory of p.r]

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2024年第1期40卷 43-80页

作者： Chong Yao CHEN Shuai GUO Mathematics Dep.rtment Duke UniversityBox 90320DurhamNC 27708-0320USA School of Mathematical Sciences Peking UniversityBeijing 100871P.R.China

We construct the quantum curve for the Baker-Akhiezer function of the orbifold Gromov-Witten theory of the weighted p.ojective line p.r].Furthermore,we deduce the exp.icit bilinear Fermionic formula for the(stationary... 详细信息

关键词： Quantum curve Free Fermions Gromov-Witten invariants Orbifold p.(1)

Antibacterial and antioxidant bifunctional hydr.gel based on hyaluronic acid comp.ex MoS_(2)-dithiothreitol nanozyme for treatment of infected wounds

在线全文

学校读者我要写书评

暂无评论

Regenerative Biomaterials 2024年第4期3卷 98-110页

作者： Yongp.ng Lu Weiqi Kang Yue Yu Ling Liang Jinrong Li Haiying Lu p.ng Shi Mingfang He Yuemin Wang Jianshu Li Xingyu Chen Guangyuan Central Hosp.tal Guangyuan 628000P.R.China State Key Laboratory of p.lymer Materials Engineering College of Polymer Science and EngineeringSichuan UniversityChengdu 610065P.R.China Institute of Biomedical Engineering College of MedicineSouthwest Jiaotong UniversityChengdu 610031P.R.China

Wound rep.ir is a comp.ex p.ysiological p.ocess that often leads to bacterial infections,which significantly threaten human ***,develop.ng wound-healing materials that p.omote healing and p.event bacterial infections is *** this study,the coordination interaction between sulfhydr.l group. on dithiothreitol(DTT)and MoS_(2)nanosheets is investigated to synthesize a MoS_(2)-DTT nanozyme with p.otothermal p.op.rties and an imp.oved free-radical scavenging ***-bond-modified hyaluronic acid is used as a monomer and is cross-linked with a p.127-DA *** is p.ep.red in coordination with MoS_(2)-DTT as the functional *** hydr.gel exhibits antioxidant and antibacterial p.op.rties,attributed to the catalytic activity of catalase-like enzymes and p.otothermal *** the near-infrared(NIR),it exhibits p.tent antibacterial effects against gram-p.sitive(Stap.ylococcus aureus)and gram-negative bacteria(Escherichia coli),achieving bactericidal rates of 99.76%and 99.42%,***,the hydr.gel exhibits remarkable reactive oxygen sp.cies scavenging and antioxidant cap.bilities,effectively countering oxidative stress in L929 ***,in an animal model,wounds treated with the p.MoD(2.0)and NIR laser heal the fastest,sealing comp.etely within 10 *** results indicate the unique biocomp.tibility and bifunctionality of the p.MoD,which make it a p.omising material for wound-healing ap.lications.

关键词： hydr.gel wound rep.ir antibacterial antioxidant nanozyme p.otothermal therap.

Reducing Subsp.ces of Toep.itz Op.rators Induced by a Class of Non-analytic Monomials over the Unit Ball

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2024年第7期40卷 1767-1777页

作者： Yan Yue SHI Bo ZHANG Xu TANG Yu Feng LU School of Mathematical Sciences Ocean University of ChinaQingdao 266100P.R.China School of Mathematics and Information Sciences Yantai UniversityYantai 264005P.R.China School of Mathematical Sciences Space Engineering UniversityBeijing 101416P.R.China School of Mathematical Sciences Dalian University of TechnologyDalian 116024P.R.China

In this p.p.r,we describe the minimal reducing subsp.ces of Toep.itz op.rators induced by non-analytic monomials on the weighted Bergman sp.ces and Dirichlet sp.ces over the unit ball B_(2).It is p.oved that each minimal reducing subsp.ce M is finite dimensional,and if dim M≥3,then M is induced by a ***,the structure of commutant algebra v(T_(w)N_(z)N):={M^(*)_(w)NM_(z)N,M^(*)_(z)NM_(w)N}′is determined by N and the two dimensional minimal reducing subsp.ces of(T_(w)N_(z)*** also give some interesting examp.es.

关键词： Reducing subsp.ce op.rator-weighted shifts Toep.itz op.rator von Neumann algebra

Finite Group. with Some Bounded Codegrees

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2024年第7期40卷 1778-1784页

作者： Dong Fang YANG Yu ZENG Heng LV School of Mathematics and Statistics Southwest UniversityChongqing400715P.R.China Dep.rtment of Mathematics Changshu Institute of TechnologyChangshu215500P.R.China

For a characterχof a finite group.G,the number cod(χ) := ∣G:ker(χ)∣/χ(1)is called the codegree ofχ.In this p.p.r,we give a solvability criterion for a finite group.G dep.nding on the minimum of the ratioχ(1)^(... 详细信息

关键词： Finite group codegree degree simp.e group

Comp.essed Data Sep.ration via ℓ_(q)-Sp.it Analysis with ℓ_(∞)-Constraint

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2024年第7期40卷 1655-1673页

作者： Ming Yang Gu Song Li Jun Hong Lin School of Mathematical Science Zhejiang UniversityHangzhou310027P.R.China Center for Data Science Zhejiang UniversityHangzhou310027P.R.China

In this p.p.r,we study comp.essed data sep.ration(CDS)p.oblem,i.e.,sp.rse data sep.ration from a few linear random *** p.op.se the nonconvex ℓ_(q)-sp.it analysis with ℓ_(∞)-constraint and 0p.it-analysis Dantzig selector(ℓ_(q)-sp.it-analysis DS).We show that the two distinct subcomp.nents that are ap.roximately sp.rse in terms of two different dictionaries could be stably ap.roximated via the ℓ_(q)-sp.it-analysis DS,p.ovided that the measurement matrix satisfies either a classical D-RIp.Restricted Isometry p.op.rty with resp.ct to Dictionaries and ℓ_(2) norm)or a relatively new(D,q)-RIp.RIp.with resp.ct to Dictionaries and ℓ_(q)-quasi norm)condition and the two different dictionaries satisfy a mutual coherence condition between *** the Gaussian random measurements,the measurement number needed for the(D,q)-RIp.condition is far less than those needed for the D-RIp.condition and the(D,1)-RIp.condition when q is small enough.

关键词： Data sep.ration ℓ_(q)-sp.it analysis Dantzig selector frames restricted isometry p.op.rty comp.essed sensing

Self-dr.ven p.oto-p.larized Water Molecule-Triggered Grap.ene-Based p.otodetector

在线全文

学校读者我要写书评

暂无评论

Research 2024年第2期2023卷 273-283页

作者： Shisheng Lin Chang Liu Xin Chen Yi Zhang Hongtao Lin Xutao Yu Yujiao Bo Yanghua Lu College of Information Science and Electronic Engineering Zhejiang UniversityHangzhou 310027P.R.China Hangzhou Gelanfeng Technology Co.Ltd Hangzhou 310051P.R.China State Key Laboratory of Modern Op.ical Instrumentation Zhejang UniversityHangzhou 310027P.R.China Key Laboratory of Wide Bandgap.Semiconductor Materials and Devices HCSemitek CorporationYiwu 322009P.R.China Smart Materials for Architecture Research Lab Innovation Center of Yangtze River DeltaZhejiang UniversityJiaxing 314100P.R.China

Flowing water can be used as an energy source for generators,p.oviding a major p.rt of the energy for daily ***,water is rarely used for information or electronic ***,we p.esent the feasibility of a p.larized liquid-triggered p.otodetector in which p.larized water is sandwiched between grap.ene and a *** to the p.larization and dep.larization p.ocesses of water molecules dr.ven by p.otogenerated carriers,a p.oto-sensitive current can be rep.atedly p.oduced,resulting in a high-p.rformance *** resp.nse wavelength of the p.otodetector can be fine-tuned as a result of the free choice of semiconductors as there is no requirement of lattice match between grap.ene and the *** zero voltage bias,the resp.nsivity and sp.cific detectivity of Gr/NaCl(0.5 M)W/N-GaN reach values of 130.7 mA/W and 2.3×10^(9)Jones under 350 nm illumination,***,using a p.lar liquid p.otodetector can successfully read the p.otop.ethysmograp.y signals to p.oduce accurate oxygen blood saturation and heart *** with the commercial p.lse oximetry sensor,the average errors of oxygen saturation and heart rate in the designed p.otop.ethysmograp.y sensor are~1.9%and~2.1%,*** study reveals that water can be used as a high-p.rformance p.otodetector in informative industries.

关键词： p.larization p.larized saturation

Homological Transfer between Additive Categories and Higher Differential Additive Categories

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2024年第5期40卷 1325-1344页

作者： Xi TANG Zhao Yong HUANG School of Science Guilin University of Aerospace TechnologyGuilin 541004P.R.China Dep.rtment of Mathematics Nanjing UniversityNanjing 210093P.R.China

Given an additive category C and an integer n≥*** higher differential additive category consists of objects X in C equip.ed with an endomorp.ism ϵ_(X)satisfying ϵ_(X)^(n).Let R be a,finite-dimensional basic algebra over an algebraically closed field and T the augmenting functor from the category of finitely generated left R-modules to that of finitely generated left R/(t^(n))-*** is p.oved that a finitely generated left R-module M isτ-rigid(resp.ctively,(sup.ort)τ-tilting,almost comp.eteτ-tilting)if and only if so is T(M)as a left R[t]/(t^(n))-***,R isτm-selfinjective if and only if so is R[t]/(t^(n)).

关键词： Higher differential objects Wakamatsu tilting subcategories G_(ω)-p.ojective modules sup.p.rtτ-tilting modules τ_(m)-selfinjective algebras p.ecluster tilting subcategories