Ring and Module Theory

Thisvolumeisacollectionof13peerreviewedpapersconsistingofexpository/s- vey articles and research papers by 24 authors. Many of these papers were presented at the International Conference on Ring and Module Theory held at Hacettepe University in Ankara, Turkey, during August 18–22, 2008. The selected papers and articles examine wide ranging and cutting edge - velopments in various areas of Algebra including Ring Theory, Module Theory, Hopf Algebras, and Commutative Algebra. The survey articles are by well-known experts in their respective areas and provide an overview which is useful for - searchers in the area, as well as, for researchers looking for new or related ?elds to investigate. The research papers give a taste of current research. We feel the variety of topics will be of interest to both graduate students and researchers. We wish to thank the large number of conference participants from over 20 countries, the contributors to this volume, and the referees. Encouragement and supportfromHacettepe University,The Scienti?c and TechnologicalResearch ¨ ? Council of Turkey (TUBITAK) and Republic of Turkey Ministry of Culture and Tourism are greatly appreciated. We also appreciate Evrim Akalan, Sevil Bar?n, ¨ Canan Celep Yucel, ¨ Esra Demiryur ¨ ek, Ozlem Erdo? gan, Fatih Karabacak, Didem Kavalc?,MinePolat,Tu? g¸ ceSivrikaya,Ay¸ seS¨ onmez,FigenTak?l,MuharremYavuz, Filiz Y?ld?z and Ugu ? r Yucel ¨ for their assistance and e?cient arrangement of the facilities which greatly contributed to the success of the conference. Finally, we must thank Erkan Afacan of Gazi University for his excellent job of typing and uniformizing manuscripts.

This volume features a collection of 13 peer-reviewed contributions consisting of expository/survey articles and research papers by 24 authors. Many of theses contributions were presented at the International Conference on Ring and Module Theory held at Hacettepe University in Ankara, Turkey, from August 18 to 22, 2008. The selected contributions examine wide-ranging and cutting-edge developments in various areas of algebra including ring theory, module theory, Hopf algebras, and commutative algebra. The survey articles are written by well-known experts in their respective areas and provide an overview which is useful for researchers in the area as well as those looking for new or related fields to investigate. The research papers give a taste of current research. The variety of topics will be of interest to both graduate students and researchers.