Two questions on semi-clean group rings

It was proved in [4] that every group ring of a torsion abelian group over a commutative local ring is a semi-clean ring. It was asked in [4] whether every group ring of a torsion abelian group over a commutative clean ring is a semi-clean ring and whether every group ring of a torsion abelian group over a commutative semi-clean ring is a semi-clean ring. In this paper, we give a positive answer to question 1 and a negative answer to question 2.     

Controlled fabrication of hierarchically microstructured surfaces via surface wrinkling combined with template replication

In this paper,we present a simple method by combining surface wrinkling and template replication to create a series of hierarchical structures on polydimethylsiloxane(PDMS) elastomer.The primary stable lined patterns are formed by duplicating commercialized compact disk and digital versatile disk with PDMS.The secondary microscale patterns are from surface wrinkling,which is elicited by oxygen plasma(OP) treatment of the prestrained PDMS stamp followed with the prestrain release.By systematically varying the OP exposure duration,the prestrain,and the angle(θ) between the primary pattern orientation and the prestrain direction,we obtain highly ordered well-organized composite patterns from different patterning techniques and with different length scales and mechanical stabilities.     

Highly efficient regioselective ring openings of N-tosylaziridines to haloamines using ferric(Ⅲ) halides

FeX3（X = Cl, Br） were found to be very effective reagents and powerful catalysts for regioselective ring openings of a variety of N-tosylaziridines with them to afford the corresponding b-haloamines in good to excellent yields with high regioselectivity under mild conditions. At the same time, 13 new compounds were obtained firstly. Moreover, the b-bromoamine prepared could be transferred into b-nitroamine with NaNO2 in moderate yield.     

集团统一审计、审计风险与组成部分重要性水平

针对集团审计的特性,运用贝叶斯定理构建集团审计模型GUAM,并用伽玛概率分布函数表示先验函数、后验函数与似然函数,用于规范集团各组成部分的重要性水平核算,将模型从单一组织扩展到集团层面的审计,并建立了各组成部分重要性水平与相对可变成本的计算公式,通过各组成部分的资产等标准分配权重,进而确定合适的先验水平使得集团整体的可变成本降低,以达到提高集团审计效率,通过集团层面的控制,使得在完成集团整体目标置信水平的基础上达到最佳审计效果的目的.     

Group inverse and core inverse in Banach and C*-algebras

Abstract

In this paper, we have focused our study on the acute perturbation of the group inverse for the elements of Banach algebra with respect to the spectral radius. We also give perturbation analysis for the core inverse in C*- algebra. The perturbation bounds for the core inverse under some conditions are presented. Additionally, this paper extends the results obtained in [11, 14].     

The synthesis and characterization of new metal-free and metallo phthalocyanines substituted with four dithiatetraoxa macrocyclic moieties

New metal-free phthalocyanine (7) fused symmetrically in peripheral positions with four dithiatetraoxa macrocycles, has been synthesized by cyclotetramerization of the isoindolinediimine derivative of macrocyclic 6. Metallophthalocyanine (8) was synthesized by reaction of phthalonitrile derivative (5) with anhydrous nickel(II) chloride. The new compounds were characterized by elemental analysis, ¹H and ¹³C-NMR, IR UV–Vis and mass spectroscopies.     

Correction to the Paper - Determination of a Domain in Complex Space by its Automorphism Group

The author offers some corrections to his article which appeared in Vol. 47, No. 3 of this journal.     

Cross section of the impact single ionization of B2＋ by H＋

The ionization process of B2+ by H+ impact is studied using the continuum-distorted-wave eikonal-initial-state (CDW-EIS) method and the modified free electron peak approximation (M-FEPA), respectively. Total, single-, and double- differential cross sections from 1s and 2s orbitals are presented for the energy range from 10 keV/u to 10 MeV/u. Comparison between the results from the two methods demonstrates that the total and single-differential cross sections for the high-energy incident projectile case can be well evaluated using the simple M-FEPA model. Moreover, the M-FEPA model reproduces the essential features of the binary-encounter (BE) bump in the double-differential cross sections. Thus, the BE ionization mechanism is discussed in detail by adopting the M-FEPA model. In particular, the double- and single-differential cross sections from the 2s orbital show a high-energy hip, which is different from those from the 1s orbital. Based on Ref. [1], the Compton profiles of B2+ for 1s and 2s orbitals are given, and the hips in DDCS and SDCS from the 2s orbital are explained.     

Controllable microfluidic strategies for fabricating microparticles using emulsions as templates

Microfluidic techniques provide flexible strategies for fabrication of uniform advanced microparticles with well-tailored sizes, shapes, structures, and functions from controllable emulsion templates. This review highlights recent progress on controllable synthesis of microparticles using versatile microfluidic emulsions as templates. First, highly controllable and scalable microfluidic techniques for the generation of defined emulsions are introduced. Versatile microfluidic strategies for fabricating microparticles from diverse controllable emulsion templates are then summarized, including solid microparticles with spherical, non-spherical, and Janus configurations, porous microparticles with flexible pore structures, and compartmental microparticles with controlled internals. Finally, the future development of microfluidic techniques for microparticle fabrication is briefly discussed.