International Symposium on Ring Theory

1. Front Matter

   Pages i-xviii

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2. Generalized Deviations of Posets with Applications to Chain Conditions on Modules

   • Toma Albu, Mark L. Teply

   Pages 1-22

3. Stability Properties of Exchange Rings

   • Pere Ara

   Pages 23-42

4. Good Conditions for the Total

   • K. I. Beidar, F. Kasch

   Pages 43-65

5. Semicentral Reduced Algebras

   • Gary F. Birkenmeier, Jin Yong Kim, Jae Keol Park

   Pages 67-84

6. On Generalizations of Injectivity

   • Jianlong Chen, Nanqing Ding

   Pages 85-94

7. Auslander-Gorenstein Rings for Beginners

   • John Clark

   Pages 95-115

8. The Flat Cover Conjecture and Its Solution

   • Edgar E. Enochs, Overtoun M. G. Jenda

   Pages 117-122

9. Some Results on Skew Polynomial Rings over a Reduced Ring

   • Juncheol Han, Yasuyuki Hirano, Hongkee Kim

   Pages 123-129

10. Derived Equivalences and Tilting Theory

    • Dieter Happel

    Pages 131-148

11. CS-Property of Direct Sums of Uniform Modules

    • J. Kado, Y. Kuratomi, K. Oshiro

    Pages 149-159

12. Generalized Principally Injective Maximal Ideals

    • Jin Yong Kim, Nam Kyun Kim, Sang Bok Nam

    Pages 161-169

13. The Module of Differentials of a Noncommutative Ring Extension

    • Hiroaki Komatsu

    Pages 171-177

14. Dual Bimodules and Nakayama Permutations

    • Y. Kurata, K. Koike, K. Hashimoto

    Pages 179-189

15. The Coinduced Functor and Homological Properties of Hopf Modules

    • Tao Li, Zhixi Wang

    Pages 191-198

16. Hopf Algebra Coaction and Its Application to Group-Graded Rings

    • Gui-Long Liu

    Pages 199-206

17. Non-Commutative Valuation Rings and Their Global Theories

    • Hidetoshi Marubayashi

    Pages 207-222

18. On the Maximal t-Corational Extensions of Modules

    • Shoji Morimoto

    Pages 223-230

19. On Values of Cyclotomic Polynomials

    • K. Motose

    Pages 231-234

20. Generalized Jordan Derivations

    • Atsushi Nakajima

    Pages 235-243

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, while the research articles give the flavor of current research. We feel that the variety of related topics will stimulate interaction between researchers. Moreover the Open Problems section provides guidance for future research. This book should prove attractive to a wide audience of algebraists. Gary F. Birkenmeier, Lafayette, U. S. A.

• Functional Analysis
• Representation theory
• Topology
• algebra
• ring theory

• Department of Mathematics, University of Louisiana at Lafayette, Lafayette, USA

  Gary F. Birkenmeier

• Department of Mathematics, Pusan National University, Pusan, Korea

  Jae Keol Park

• Department of Mathematics, Kyungpook National University, Taegu, Korea

  Young Soo Park

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