On the Generalized Virasoro-like Algebras

ＯｎｔｈｅＧｅｎｅｒａｌｉｚｅｄＶｉｒａｓｏｒｏ┐ｌｉｋｅＡｌｇｅｂｒａｓＪｉａＹｕｔｉｎｇ（贾雨亭）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＨｅｂｅｉＴｅａｃｈｅｒｓＵｎｉｖｅｒｓｉｔｙ，Ｓｈｉｊｉａｚｈｕａｎｇ，０５００１６）Ｚｈａｎｇ...     

Chain Conditions for Skew Polynomial Modules

§１．ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｒｏｕｇｈｏｕｔｔｈｉｓｐａｐｅｒＲｉｓａｎａｓｓｏｃｉａｔｉｖｅｒｉｎｇｂｕｔｎｏｔｎｅｃｅｓｓａｒｉｌｙｈａｓａｕｎｉｔｙ,ｈｉｓａｎｅｎｄｏｍｏｒｐｈｉｓｍｏｆａｌｅｆｔＲ－ｍｏｄｕｌｅＭ,ａｎｄｗｅｆｒｅｅｌ...     

HOMOLOGICAL PROPERTIES OF TORSION CLASSES UNDER CHANGE OF RINGS

ＨＯＭＯＬＯＧＩＣＡＬ ＰＲＯＰＥＲＴＩＥＳ ＯＦ ＴＯＲＳＩＯＮ ＣＬＡＳＳＥＳ ＵＮＤＥＲ ＣＨＡＮＧＥ ＯＦ ＲＩＮＧＳ ￥ＹＡＯＭＵＳＨＥＮＧＡｂｓｔｒａｃｔ：ＬｅｔＲｂｅａｒｉｎｇｗｉｔｈｉｄｅｎｔｉｔｙ，ｘｂｅａｃｅｎｔｒａｌｅｌｅｍｅｎ...     

Rank-preserving module maps

In this paper, we characterize rank one preserving module maps on a Hilbert C^*-module and study its applications on free probability theory.     

A Version of the Weak Krull–Schmidt Theorem for Infinite Direct Sums of Uniserial Modules

We show a version of the weak Krull–Schmidt theorem concerning infinite families of uniserial modules.     

Superdecomposable E(R)-Algebras

ABSTRACT

An E-ring is a ring that is naturally isomorphic to the endomorphism ring of its additive group. E-rings with various properties have been constructed in the literature; we now consider superdecomposable E-rings. More generally, we construct superdecomposable algebras A over integral domains R, which are at the same time E(R)-algebra in the sense that the ring of R-endomorphisms of the underlying R-module structure is canonically isomorphic to A. We also establish the existence of arbitrarily large superdecomposable modules over such algebras.     

Low-Cost Fully Non-fused Ring Acceptor Enables Efficient Organic Photovoltaic Modules for Multi-Scene Applications

Organic photovoltaic (OPV) cells, with highly tunable light-response ranges, offer significant potential for use in driving low-power consumption off-grid electronics in multi-scenarios. However, development of photoactive layer materials that can meet simultaneously the requirements of diverse irradiation conditions is a still challenging task. Herein, a low-cost fully non-fused acceptor (denoted as GS60) featuring well-matched absorption spectra with solar, scattered light and artificial light radiation was designed and synthesized. Systematic characterizations revealed that GS60 possessed outstanding photoelectron properties and ideal morphology, which resulted in reduced voltage loss and suppressed charge recombination. By blending with a non-fused ring polymer PTVT−T, the as-obtained GS60 based OPV cells achieved a good power conversion efficiency (PCE) of 14.1 %, a high value for the cells based on non-fused ring bulk heterojunction. Besides, manufactured large-area OPV modules based on PTVT−T:GS60 yielded PCEs of 11.2 %, 11.8 %, 12.1 %, 23.1 %, and 20.3 % under irradiation of AM 1.5G, natural light of cloudy weather, natural light in shadow, laser and indoor, respectively. The PTVT−T:GS60 devices exhibited considerable potential in terms of improving photostability and reducing material cost. Overall, this work provides novel insight into the molecular design of low-cost non-fused ring acceptors, and extended potential of medium band gap acceptors based OPV cells used in various application scenarios.     

模丛上的嵌入子丛

利用模丛之间的嵌入关系,构造出了自由丛 的嵌入子丛和任一模丛的嵌入子自由丛. 得到一般模丛都能够成为一个自由丛 的嵌入子丛; 同时任一模丛也能够有一自由丛(或投射丛)是它的嵌入子丛; 还给出了投射丛转化为自由丛的条件.     

Rings over which Invertible Modulesare Free

ＲｉｎｇｓｏｖｅｒｗｈｉｃｈＩｎｖｅｒｔｉｂｌｅＭｏｄｕｌｅｓａｒｅＦｒｅｅＣｈｅｎＨｕａｎｙｉｎ（陈焕艮）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＨｕｎａｎＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｃｈａｎｇｓｈａ，４１０００６）Ａｂｓｔｒａｃｔ...     

深空探测用超导滤波器及滤波放大组件

研制了针对深空探测的超导滤波器和超导滤波放大组件,该超导滤波器在无需后期调谐的情况下,回波损耗大于25.16dB,驻波比小于1.12,插入损耗约0.04dB,阻带抑制达到了115dB以上;超导滤波放大组件的增益为30dB±0.2dB,回波损耗约为20dB;而组件的噪声温度仅为8K~9K。