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On π-Regular Rings with Involution

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Algebra Colloquium 2018年第3期25卷 509-518页

作者： Jian Cui xiaobin yin Department of Mathematics Anhui Normal University Wuhu Anhui 241000 China

A ring R is π-regular if for every a in R, there is a positive integer n such that a^n R is generated by an idempotent. In this paper, we introduce the notion of π-＊-regular rings, which is the ＊-version of π-regular rings. We prove various properties of π-＊-regular rings, and establish many equivalent characterizations of abelian π-＊-regular rings.

关键词： r-regular ring π-*-regular ring abelian ring generalized p.p. *-ring

A Generalization of Strongly Nil Clean Rings

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Algebra Colloquium 2018年第4期25卷 585-594页

作者： Jian Cui xiaobin yin Department of Mathematics Anhui Normal UniversityWuhuAnhui 241002China

Generalizing the notion of strongly nil clean rings,we introduce strongly quasinil clean *** fundamental properties and equivalent characterizations of this class of rings are *** means of g-Drazin inverses,Cline's fo... 详细信息

关键词： strongly quasi-nil clean ring strongly nil clean ring strongly clean ring g-Drazin inverse

The analysis of gales over the “Maritime Silk Road” with remote sensing data

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Acta Oceanologica Sinica 2017年第9期36卷 15-22页

作者： LIU Yuanxin yin xiaobin XU Youping College of Computer National University of Defense Technology Changsha 410073 China Marine Department Beijing Piesat Information Technology Co. Ltd Beijing 100195 China The State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics (LASG) Institude of Atmospheric Physics (IAP) Chinese Academy of Sciences Beijing 10029 China

The 21st century ＂Maritime Silk Road＂ strategy is a significant part of the belt and road initiatives of China. The cognition and investigation of ocean environment is essential and necessary in these regions which will provide scientific reference for many fields such as navigation, ocean engineering, and disaster prevent and reduction. A high-resolution cross-calibrated multi-platform wind product is used to analyze gales over the Maritime Silk Road. The yearly mean speed and space distribution of gale, and the frequencies and trends of gale and extreme wind speed are analyzed. The results show that relatively high pools of gale are mainly located in the waters of the Arabian Sea, the Somali Sea, Indo-China Peninsula sea area, and Bay of Bengal in the summer. The gale frequency of the Somali Sea is more than 90%. Overall, the gale days increase year by year in the majority of the South China Sea and the northern Indian Ocean, especially in the autumn and the winter.

关键词： Maritime Silk Road gale climate change trend

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Retrieving capillary-gravity wave spectrum from polarimetric microwave radiation of ocean surface

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Science China Earth Sciences 2010年第6期53卷 901-910页

作者： yin xiaobin WANG ZhenZhan LIU YuGuang Center for Space Science and Applied Research Chinese Academy of SciencesBeijing 100190China Physical Oceanography Laboratory Ocean University of ChinaQingdao 266100China

A new simple two-scale model on the polarimetric microwave emission of ocean surface is derived at first, which can be ex-pressed as an integral of weighting functions (M0 and M2) and ocean surface curvature spectrum coefficients (C0 and C2). This provides a simple way to investigate the effect of curvature spectrum on ocean emission. It is found that ocean waves with wavelengths both comparable to and much greater than the electromagnetic wavelength can contribute to the harmonics of ocean surface microwave emission, depending on the magnitude of the ocean surface spectrum in these length scales. Bright-ness temperature predictions differ significantly due to present diverse spectrum models, and thus a study on wave spectrum obtained inversely from brightness temperature measurements is necessary. From the ocean surface radiation data measured by polarimetric microwave radiometer, we derived an ocean wave spectrum with a wider wave number range, using the proposed two-scale model and constrained linear least-squares method. The derived ocean wave spectrum is useful for comparing with present diverse models.

关键词： microwave radiation of ocean surface two-scale model ocean wave curvature spectrum

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Removing the impact of wind direction on remote sensing of sea surface salinity

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Chinese Science Bulletin 2006年第11期51卷 1368-1373页

作者： yin xiaobin LIU Yuguang ZHANG Hande Physical Oceanography Laboratory Ocean University of China Qingdao 266003 China North China Sea Branch of the State Oceanic Administration Qingdao 266033 China

Using the small-slope approximation model of microwave emission of rough sea surface, the impacts of sea surface wind on brightness tem- perature variations generated by the surface rough- ness, i.e. ?Th,v, are investigated. Here ?T denotes the brightness temperature variation, and “h” and “v” denote the horizontal and vertical polarizations re- spectively. ?Th,v has a linear relation with wind speed, sea surface temperature (SST) and sea surface sa- linity (SSS) respectively. Further more, the impact of wind direction on SSS retrieval, under small inci- dence angles, can be removed by calculating (?Th+?Tv). These characteristics provide simple new ways to develop an SSS retrieval algorithm without wind direction factor.

关键词：遥感海面温度海面盐度风向亮度温度

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Estimation of wind speeds inside Super Typhoon Nepartak from AMSR2 low-frequency brightness temperatures

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Frontiers of Earth Science 2019年第1期13卷 124-131页

作者： Lei ZHANG xiaobin yin Hanqing SH Zhenzhan WANG Qing XU Institute of Meteorology and Oceanography National University of Defense TechnologyNanjing 211101China Beijing Piesat Information Technology Co.Ltd Beijing 100195China National Space Science Center Chinese Academy of SciencesBeijing 100190China College of Oceanography Hohai UniversityNanjing 211101China

Accurate estimations of typhoon-level winds are highly desired over the westem Pacific Ocean.A wind speed retrieval algorithm is used to retrieve the wind speeds within Super Typhoon Nepartak (2016)using 6.9- and 10.7-GHz brightness temperatures from the Japanese Advanced Microwave Scanning Radiometer 2 (AMSR2) sensor on board the Global Change Observation Mission-Water 1 (GCOM-Wl)*** results show that the retrieved wind speeds clearly represent the intensification process of Super Typhoon Nepartak.A good agreement is found between the retrieved wind speeds and the Soil Moisture Active Passive wind speed *** mean bias is 0.51 m/s,and the root-mean-square difference is 1.93 m/s between *** retrieved maximum wind speeds are 59.6 m/s at 04:45 UTC on July 6 and 71.3 m/s at 16:58 UTC on July *** two results demonstrate good agreement with the results reported by the China Meteorological Administration and the Joint Typhoon Warning *** addition,Feng-Yun 2G (FY-2G) satellite infrared images,Feng-Yun 3C (FY-3C)microwave atmospheric sounder data,and AMSR2 brightness temperature images are also used to describe the development and structure of Super Typhoon Nepartak.

关键词： microwave radiometer sea surface wind retrieval AMSR2 Nepartak SMAP

On Weakly r-Clean Rings

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Journal of Mathematical Research with Applications 2017年第5期37卷 543-549页

作者： Hanpeng GAO xiaobin yin Department of Mathematics Anhui Normal University

As generalization of r-clean rings and weakly clean rings, we define a ring R is weakly r-clean if for any a∈R there exist an idempotent e and a regular element r such that a = r + e or a = r-e. Some properties and examples of weakly r-clean rings are given. Furthermore, we prove the weakly clean rings and weakly r-clean rings are equivalent for abelian rings.

关键词： r-clean rings weakly clean rings weakly r-clean rings regular rings

n-Clean Rings with Involutions

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Journal of Mathematical Research with Applications 2016年第2期36卷 194-200页

作者： Jian CUI xiaobin yin Department of Mathematics Anhui Normal University

A *-ring is called *-clean if every element of the ring can be written as the sum of a projection and a unit. For an integer n ≥ 1, we call a *-ring R n-*-clean if for any a ∈ R,a = p + u1 + ··· + unwhere p is a projection and ui are units for all i. Basic properties of n-*-clean rings are considered, and a number of illustrative examples of 2-*-clean rings which are not *-clean are provided. In addition, extension properties of n-*-clean rings are discussed.

关键词： *-clean ring n-*-clean ring clean ring n-clean ring

Notes on McCoy Modules

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Journal of Mathematical Research with Applications 2018年第3期38卷 247-252页

作者： Heqing ZHENG Zhi CHENG xiaobin yin School of Mathematics and Statistics Anhui Normal University

Let R be a ring with an identity and C（R） be the category of right R-modules. In this paper we introduce the notion of semi-McCoy module. With this notion we show that McCoy modules of C（R） are closed under kernels of epimorphisms, and they are also closed under extensions and direct sums with certain conditions. We also get some results on the subcategories of McCoy modules of C（R[x]） and C(R[x; x-1]).

关键词： McCoy module extension cokernel of monomorphism kernel of epimorphism direct sum