Proceedings of one of the largest conferences held in the Middle East on ring and module theory with speakers from over 25 countries
Expository/survey articles from world renowned experts in ring theory, module theory, and commutative algebra
A Seventy Years Jubilee: The Hopkins-Levitzki Theorem.- A Theory of Hulls for Rings and Modules.- Rewriting as a Special Case of Noncommutative Gröbner Bases Theory for the Affine Weyl Group à n .- A Classification of a Certain Class of Completely Primary Finite Rings.- Higman Ideals and Verlinde-type Formulas for Hopf Algebras.- Right Weakly Regular Rings: A Survey.- Substructures of Hom.- Weak Lifting Modules with Small Radical.- FP-injective Complexes.- A Generalization of Homological Dimensions.- Additive Rank Functions and Chain Conditions.- A Note on (?, ?)-higher Derivations and their Extensions to Modules of Quotients.- Prime Ideals in Noetherian Rings: A Survey.
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.
This book is a collection of invited papers and articles, many presented at the 2008 International Conference on Ring and Module Theory. The papers explore the latest in various areas of algebra, including ring theory, module theory and commutative algebra.
Inhaltsverzeichnis
A Seventy Years Jubilee: The Hopkins-Levitzki Theorem.- A Theory of Hulls for Rings and Modules.- Rewriting as a Special Case of Noncommutative Gröbner Bases Theory for the Affine Weyl Group à n .- A Classification of a Certain Class of Completely Primary Finite Rings.- Higman Ideals and Verlinde-type Formulas for Hopf Algebras.- Right Weakly Regular Rings: A Survey.- Substructures of Hom.- Weak Lifting Modules with Small Radical.- FP-injective Complexes.- A Generalization of Homological Dimensions.- Additive Rank Functions and Chain Conditions.- A Note on (?, ?)-higher Derivations and their Extensions to Modules of Quotients.- Prime Ideals in Noetherian Rings: A Survey.
Klappentext
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 manuillegalscripts.
Proceedings of one of the largest conferences held in the Middle East on ring and module theory with speakers from over 25 countries
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Expository/survey articles from world renowned experts in ring theory, module theory, and commutative algebra
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Includes supplementary material: sn.pub/extras
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