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Titlebook: International Symposium on Ring Theory; Gary F. Birkenmeier,Jae Keol Park,Young Soo Park Conference proceedings 2001 Springer Science+Busi

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书目名称International Symposium on Ring Theory
编辑Gary F. Birkenmeier,Jae Keol Park,Young Soo Park
视频video
丛书名称Trends in Mathematics
图书封面Titlebook: International Symposium on Ring Theory;  Gary F. Birkenmeier,Jae Keol Park,Young Soo Park Conference proceedings 2001 Springer Science+Busi
描述This volume is the Proceedings of the Third Korea-China-Japan Inter­ national Symposium on Ring Theory held jointly with the Second Korea­ Japan Joint Ring Theory Seminar which took place at the historical resort area of Korea, Kyongju, June 28-July 3, 1999. It also includes articles by some invited mathematicians who were unable to attend the conference. Over 90 mathematicians from 12 countries attended this conference. The conference is held every 4 years on a rotating basis. The first con­ ference was held in 1991 at Guilin, China. In 1995 the second conference took place in Okayama, Japan. At the second conference it was decided to include Korea, who hosted this conference of 1999. During the past century Ring Theory has diversified into many subar­ eas. This is reflected in these articles from over 25 well-known mathemati­ cians covering a broad range of topics, including: Classical Ring Theory, Module Theory, Representation Theory, and the theory of Hopf Algebras. Among these peer reviewed papers are invited survey articles as well as research articles. The survey articles provide an overview of various areas for researchers looking for a new or related field to investigate,
出版日期Conference proceedings 2001
关键词Functional Analysis; Representation theory; Topology; algebra; ring theory
版次1
doihttps://doi.org/10.1007/978-1-4612-0181-6
isbn_softcover978-1-4612-6650-1
isbn_ebook978-1-4612-0181-6Series ISSN 2297-0215 Series E-ISSN 2297-024X
issn_series 2297-0215
copyrightSpringer Science+Business Media New York 2001
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2297-0215 apan Joint Ring Theory Seminar which took place at the historical resort area of Korea, Kyongju, June 28-July 3, 1999. It also includes articles by some invited mathematicians who were unable to attend the conference. Over 90 mathematicians from 12 countries attended this conference. The conference
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Good Conditions for the Total, implies that . is a direct sum of injective modules. We conjecture that such rings must be right Noetherian and prove that they (and all their homomorphic images) are right Goldie rings. Further, the conjecture is confirmed in a number of cases.
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CS-Property of Direct Sums of Uniform Modules, modules is CS for the given direct sum. In the case when each uniform module has a local endomorphism ring, this problem has been studied by several authors, e.g., Baba-Harada [2], Dung [3], Harada-Oshiro [5].
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Semicentral Reduced Algebras,d triangular matrix algebras and semicentral reduced algebras are surveyed. New results are provided for endomorphism algebras of modules and for semicentral reduced algebras. In particular, semicentral reduced rings which are right FPF, right nonsingular, or left perfect are described.
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Some Results on Skew Polynomial Rings over a Reduced Ring,olynomials in . over . with the usual addition and with new multiplication defined by . = . (.). for each . ∈ . (see [3], [4]). A left (right) annihilator of a subset . of . is defined by ..(.) = {. ∈ . | .. 0}(..(.) = {. ∈. | ..= 0}). Recall that . is a . ring if it has no nonzero nilpotent element
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