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Ring and Module Theory : Trends in Mathematics - Toma Albu

Ring and Module Theory

Trends in Mathematics

By: Toma Albu (Editor), Gary F. Birkenmeier (Editor), Ali Erdogan (Editor), Adnan Tercan (Editor)

Hardcover

Published: 13th July 2010
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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.

Prefacep. vii
A Seventy Years Jubilee: The Hopkins-Levitzki Theoremp. 1
A Theory of Hulls for Rings and Modulesp. 27
Rewriting as a Special Case of Noncommutative Gröbner Bases Theory for the Affine Weyl Group Ãnp. 73
A Classification of a Certain Class of Completely Primary Finite Ringsp. 83
Higman Ideals and Verlinde-type Formulas for Hopf Algebrasp. 91
Right Weakly Regular Rings: A Surveyp. 115
Substructures of Homp. 125
Weak Lifting Modules with Small Radicalp. 129
FP-injective Complexesp. 135
A Generalization of Homological Dimensionsp. 143
Additive Rank Functions and Chain Conditionsp. 149
A Note on (¿, ß)-higher Derivations and their Extensions to Modules of Quotientsp. 165
Prime Ideals in Noetherian Rings: A Surveyp. 175
Participantsp. 195
Table of Contents provided by Ingram. All Rights Reserved.

ISBN: 9783034600064
ISBN-10: 3034600062
Series: Trends in Mathematics
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 200
Published: 13th July 2010
Publisher: Birkhauser Verlag AG
Country of Publication: CH
Dimensions (cm): 25.4 x 17.8  x 1.91
Weight (kg): 0.64