AF C~*-代数上的Schur积与完全有界映射

证明了ＡＦＣ-代数Ｂ上的有界Ｄ-模映射是完全有界的,这里Ｄ是Ｂ的一个ＳＶｍａｓａ．     

Enhancing fully printable mesoscopic perovskite solar cell performance using integrated metallic grids to improve carbon electrode conductivity

Carbon based Perovskite Solar cells (C–PSCs) have emerged as the most promising candidates for commercialisation in the field of perovskite photovoltaics, as they are highly stable, low cost and make use of easily scaled manufacturing techniques. However, the limited conductivity of the carbon electrode inhibits performance and represents a significant barrier to commercial application. Τhis work presents a scalable method for enhancing the carbon electrode conductivity through the integration of aluminium and copper grids into prefabricated C–PSCs. Adhered to the cells using an additional low temperature carbon ink, the metallic grids were found to dramatically reduce top electrode series resistance, leading to a large improvement in fill factor and efficiency. After grid integration, the 1 cm² C–PSCs yielded power conversion efficiency (PCE) of 13.4% and 13% for copper and aluminium respectively, while standard C–PSCs obtained PCE of 11.3%. Performance is also significantly augmented in the case of larger-scale 11.7 cm² modules, where PCEs went from 7.7% to 10% and 11% for aluminium and copper grids respectively. This technique offers a fast and low temperature route to high-performance, large-area C–PSCs and could therefore have serious potential for application to the high-volume manufacture of perovskite cells and modules.     

Operator decomposition of graphs and the reconstruction conjecture

We present the method of proving the reconstructibility of graph classes based on the new type of decomposition of graphs — the operator decomposition. The properties of this decomposition are described. Using this decomposition we prove the following. Let P and Q be two hereditary graph classes such that P is closed with respect to the operation of join and Q is closed with respect to the operation of disjoint union. Let M be a module of graph G with associated partition (A,B,M), where A∼M and B⁄∼M, such that G[A]∈P, G[B]∈Q and G[M] is not (P,Q)-split. Then the graph G is reconstructible.     

Centre of an algebra

Motivated by algebraic structures appearing in Rational Conformal Field Theory we study a construction associating to an algebra in a monoidal category a commutative algebra (full centre) in the monoidal centre of the monoidal category. We establish Morita invariance of this construction by extending it to module categories.As an example we treat the case of group-theoretical categories.     

3阶全矩阵代数的H_8-模代数结构

设H_8是非交换非余交换的8维半单Hopf代数,C[K_4]是克莱因四元群的群代数,M_3(C)是复数域上的3阶全矩阵代数.通过方阵和方阵对的弱相似给出了同构意义下M_3(C)上全部的C[K_4]-模代数结构.在此基础上结合H_8与C[K_4]的关系,刻划了同构意义下M_3(C)上所有的H_8-模代数结构.     

Modular fluidic resistors to enable widely tunable flow rate and fluidic switching period in a microfluidic oscillator

Microfluidic systems with modular components are attractive alternatives to monolithically integrated microfluidic systems because of their flexibility. In this study, we apply the modular concept on a water‐head‐pressure‐driven microfluidic oscillator and obtain a widely tunable flow rate and fluidic switching period. Modular fluidic resistors can be easily mounted onto and demounted from a main chip by means of plastic male connectors. The connectors enable a leak‐free connection between the modular resistors and main chip (leakage pressure > 140 kPa). With modular resistors, we show independent control of the flow rate and flow switching period of the oscillator system in a wide range (2.5 s–6.4 h and 2 μL/min–2 mL/min). This modular approach can be used to enhance the flexibility of instruction‐embedded microfluidic circuits in which their operational range is limited.     

相关Hopf模的对偶

本文的目的就是给出相关Hopf模的对偶性质.在第一部分,证明了相关Hopf模的对偶模仍是相关Hopf模.特别地,Hopf模的对偶仍是Hopf模.在第二、第三两部分,分别给出相关Hopf模的对偶相关Hopf模的基本结构定理及Maschke定理.