检索结果-南通市图书馆

Some remarks on one-sided regularity

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Frontiers of Mathematics in China 2018年第4期13卷 833-847页

作者： tai keun kwak Yang LEE Young Joo SEO Department of Mathematics Daejin University Pocheon 11159 Korea Institute of Basic Science Daejin University Pocheon 11159 Korea Department of Mathematics Hanyang University Seoul 04763 Korea

A ring is said to be right （resp., left） regular-duo if every right （resp., left） regular element is regular. The structure of one-sided regular elements is studied in various kinds of rings, especially, upper triangular matrix rings over one-sided Ore domains. We study the structure of （one-sided） regular-duo rings, and the relations between one-sided regular-duo rings and related ring theoretic properties.

关键词： right (left) regular element right (left) regular-duo ring uppertriangular matrix ring right (left) Ore domain

Matrix Rings over Reflexive Rings

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Algebra Colloquium 2018年第3期25卷 459-474页

作者： Jeoung Soo Cheon tai keun kwak Yang Lee Department of Mathematics Pusan National University Busan 46241 Korea Department of Mathematics Daejin University Pocheon 11159 Korea Institute of Basic Science Daejin University Pocheon 11159 Korea

The concept of reflexive property is introduced by Mason. This note concerns a ring-theoretic property of matrix rings over reflexive rings. We introduce the concept of weakly reflexive rings as a generalization of reflexive rings. From any ring, we can construct weakly reflexive rings but not reflexive, using its lower nilradical. We study various useful properties of such rings in relation with ideals in matrix rings, showing that this new property is Morita invariant. We also investigate the weakly reflexive property of several sorts of ring extensions which have roles in ring theory.

关键词： weakly reflexive ring reflexive ring power of ideal matrix ring ring of minimal order

A Property Satisfying Reducedness over Centers

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Algebra Colloquium 2021年第3期28卷 453-468页

作者： Hailan Jin tai keun kwak Yang Lee Zhelin Piao Department of Mathematics Yanbian UniversityYanjiJilin 133002China Department of Mathematics Daejin UniversityPocheon 11159Korea Institute of Basic Science Daejin UniversityPocheon 11159Korea

This article concerns a ring property called pseudo-reduced-over-center that is satisfied by free algebras over commutative reduced *** properties of radicals of pseudo-reduced-over-center rings are investigated,especially related to polynomial *** is proved that for pseudo-reduced-over-center rings of nonzero characteristic,the centers and the pseudo-reduced-over-center property are preserved through factor rings modulo nil *** a locally finite ring R,it is proved that if R is pseudo-reduced-over-center,then R is commutative and R/J(R)is a commutative regular ring with J(R)nil,where J(R)is the Jacobson radical of R.

关键词： pseudo-reduced-over-center ring center radical commutative ring polynomial ring right quotient ring Abelian ring

Remarks on Centers of Rings

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Algebra Colloquium 2021年第1期28卷 1-12页

作者： Juan Huang Hailan Jin tai keun kwak Yang Lee Zhelin Piao Department of Mathematics Yanbian UniversityYanjiJilin 133002China Department of Mathematics Daejin UniversityPocheon 11159Korea Institute of Basic Science Daejin UniversityPocheon 11159Korea

It is proved that for matrices A,B in the n by n upper triangular matrix ring T_(n)(R)over a domain R,if AB is nonzero and central in T_(n)(R)then AB=*** n by n full matrix rings over right Noetherian domains are also shown to have this *** this article we treat a ring property that is a generalization of this result,and a ring with such a property is said to be weakly *** class of weakly reversible-over-center rings contains both full matrix rings over right Noetherian domains and upper triangular matrix rings over *** structure of various sorts of weakly reversible-over-center rings is studied in relation to the questions raised in the process *** also consider the connection between the property of being weakly reversible-over-center and the related ring properties.

关键词： weakly reversible-over-center ring center commutative domain right Noetherian domain reduced ring full(upper)triangular matrix ring NI ring

On extensions of matrix rings with skew Hochschild 2-cocycles

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Frontiers of Mathematics in China 2016年第4期11卷 869-900页

作者： Chan Yong HONG Nam Kyun KIM tai keun kwak Yang LEE Department of Mathematics and Research Institute for Basic Sciences Kyung Hee University Seoul 02447 Korea School of Basic Sciences Hanbat National University Daejeon 34158 Korea Department of Mathematics Daejin University Pocheon 11159 Korea Department of Mathematics Pusan National University Pusan 46241 Korea

We study structures of endomorphisms and introduce a skew Hochschild 2-cocycles related to Hochschild 2-cocycle. We moreover define skew Hochschild extensions equipped with skew Hochschild 2-cocycles, and then we examine uniquely clean, Abelian, directly finite, symmetric, and reversible ring properties of skew Hochschild extensions and related ring systems. The results obtained here provide various kinds of examples of such rings. Especially, we give an answer negatively to the question of H. Lin and C. Xi for the corresponding Hochschild extensions of reversible （or semicommutative） rings. Finally, we establish three kinds of Hochschild extensions with Hochschild 2-cocycles and skew Hochschild 2-cocycles.

关键词： Skew Hochschild extensions matrix rings skew triangular matrix rings (uniquely) clean rings symmetric rings

Ring Theory and Related Topics

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Frontiers of Mathematics in China 2016年第4期11卷 763-764页

作者： Nanqing DING tai keun kwak Fang LI Masahisa SATO Department of Mathematics Nanjing University Nanjing 210093 China Department of Mathematics Daejin University Pocheon 11159 Korea Department of Mathematics Zhejiang University (Yuquan Campus) Hangzhou 310027 China Yamanashi University Takeda 4-3-11 Kofu Yamanashi 400-8511 Japan

The special issues ＂Ring Theory and Related Topics （I, II）＂ of Frontiers of Mathematics in China （FMC） are an outcome of the Seventh China-Japan- Korea International Conference on Ring Theory held from July 1 to... 详细信息

关键词： Themes Ring device theories Annulus rings

Duo Property on the Monoid of Regular Elements

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Algebra Colloquium 2022年第2期29卷 203-216页

作者： Chan Yong Hong Hong Kee Kim Nam Kyun Kim tai keun kwak Yang Lee Department of Mathematics Kyung Hee UniversitySeoul 02447Korea Department of Mathematics and RINS Gyeongsang National University Jinju 52828Korea School of Basic Sciences Hanbat National UniversityDaejeon 34158Korea Department of Mathematics Daejin UniversityPocheon 11159Korea Department of Mathematics Yanbian UniversityYanjiJilin 133002China Instituteof Basic Science Daejin UniversityPocheon 11159Korea

We study the right duo property on regular elements,and we say that rings with this property are right *** is first shown that the right duo property is preserved by right quotient rings when the given rings are right *** prove that thepolynomial ring over a ring R is right DR if and only if R is *** is also proved that for a prime number p,the group ring KG of a finite p-group G over a field K of characteristic p is right DR if and only if it is right duo,and that there exists a group ring KG that is neither DR nor duo when G is not a p-group.

关键词： right DR ring right duo ring quotient ring (skew)polynomial ring group ring

Duo Property Applied to Powers and Regular Elements

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Algebra Colloquium 2023年第1期30卷 15-30页

作者： taikeun kwak Yang Lee Zhelin Piao Yeonsook Seo Department of Mathematics Daejin UniversityPocheon 11159Korea Department of Mathematics Yanbian UniversityYanjiJilin 133002China Institute of Basic ScienceDaejin UniversityPocheon 11159Korea Department of Mathematics Yanbian UniversityYanjiJilin 133002China Department of Mathematics Pusan National UniversityBusan 46241Korea

The object of this article is to initiate the study of a class of rings in which the right duo property is applied in relation to powers of elements and the monoid of all regular *** rings shall be called right *** investigate the structures of group rings,right quotient rings,matrix rings and(skew)polynomial rings,through the study of right exp-DR *** addition,we provide a method of constructing finite non-abelian p-groups for any prime p.

关键词： right(exp-)DR ring regular element (weakly)right duo ring right quotient ring group ring

Comparative analysis on homogeneity of Pb and Cd in epoxy molding compounds

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Transactions of Nonferrous Metals Society of China 2011年第A1期21卷 160-164页

作者： Kyun-Gmee LEE Yong-keun SON Jin-Sook LEE tai-Min NOH Hee-Soo LEE Department of Chemistry Sungkyunkwan University Department of Chemistry Yonsei University School of Materials Science and Engineering Pusan National University

Reference materials for quantitative determination of regulated heavy metals, such as Pb and Cd in electronic components, were designed and investigated in terms of stability and homogeneity. Reference materials with two concentration levels of heavy metals were prepared by spiking Pb and Cd compounds to epoxy molding compounds made by mixing silica powders and epoxy resin. The concentration changes of the reference materials during stability test for 1 a were not observed. In the homogeneity assessment, the as-prepared reference materials were studied by using three different analytical tools, inductively coupled plasma atomic emission spectrometry (ICP-AES), X-ray fluoroescence spectrometry (XRF) and laser ablation ICP mass. The results show different homogeneities by the characteristics of analytical tools and the materials.

关键词： epoxy molding compound Pb Cd reference materials homogeneity