Auslander made contributions to many parts of algebra, and this 2-volume set (the set ISBN is 0-8218-0679-3, already published) contains a selection of his main work.
Auslander made contributions to many parts of algebra, and this 2-volume set (the set ISBN is 0-8218-0679-3, already published) contains a selection of his main work.
This classic monograph is geared toward advanced undergraduates and graduate students. The treatment presupposes some familiarity with sets, groups, rings, and vector spaces. The four-part approach begins with examinations of sets and maps, monoids and groups, categories, and rings. The second part explores unique factorization domains, general module theory, semisimple rings and modules, and Artinian rings. Part three's topics include localization and tensor products, principal ideal domains, and applications of fundamental theorem. The fourth and final part covers algebraic field extensions and Dedekind domains. Exercises are provided at the end of each chapter. Dover (2014) republication of the edition originally published by Harper & Row Publishers, New York, 1974. See every Dover book in print at www.doverpublications.com
The notions of torsion and torsion freeness have played a very important role in module theory--particularly in the study of modules over integral domains. Furthermore, the use of homological techniques in this connection has been well established. It is the aim of this paper to extend these techniques and to show that this extension leads naturally to several new concepts (e.g. k-torsion freeness and Gorenstein dimension) which are useful in the classification of modules and rings.
Elegant and concise, this text explores properties of meromorphic functions, Picard theorem, harmonic and subharmonic functions, applications, and boundary behavior of the Riemann mapping function for simply connected Jordan regions. 1962 edition.
Bullying and harassment threaten academic achievement and mental health in our schools. Look beyond your work with individual students to address these problems in their larger context! This book presents enlightening empirical studies and reviews of the literature on peer harassment, bullying, and victimization. Designed to expand our knowledge and understanding of these topics, Bullying, Peer Harassment, and Victimization in the Schools: The Next Generation of Prevention documents the widespread nature of the phenomena both inside and outside the United States, identifies risk and protective factors, and provides practitioners with specific, evidence-based guidelines for effective preventive action. From the editors: The problem of bullying, peer harassment, and victimization is a serious one in our schools. It greatly affects the climate for learning and productivity and the emotional health of students and staff. This book presents empirical data and theoretical and legal case reviews to show how pervasive and serious these problems are and how they threaten both academic achievement and mental health within many of our schools. Taking a longitudinal and developmental perspective, the authors begin to outline the next generation of research in this field that will shape knowledge and practice for the next few decades. For practitioners, the book is a call to action, particularly at the school-wide level, focusing on reducing the substantial social/emotional harm done to perpetrators, bystanders, and especially, victims. Bullying, Peer Harassment, and Victimization in the Schools provides vital information on: what mental health professionals can do to prevent and respond to sexual harassment in schools the relationship between middle-school adjustment and bullying aggressive behavior and friendship patterns in immigrant children school-based intervention strategies the relationship between the cultures of childhood and sexual harassment—from developmental, domestic violence, and legal perspectives risk factors and protective factors affecting victimization and more! It has been estimated that bullying affects more than half of the students in American schools. This book can add significantly to your ability to combat and prevent this pervasive problem. Use it to improve the quality of education received by students in your community!
A comprehensive examination of theory, research, prevention and intervention, and professional practice issues - in one source. Teasing, shunning, and bullying can have serious detrimental effects on both victim and perpetrator. Bullying, Victimization, and Peer Harassment: A Handbook of Prevention and Intervention comprehensively gathers emerging research, theory, and effective practice on this subject into one invaluable source. This thorough review of a wide spectrum of innovative, evidence-based practices targets the complex problems of victimization, peer harassment, and bullying in our schools. Interventions range from individuals and their peers to broad, systems-level change within schools and communities. The challenge of prevention is also explored, using the latest studies as a practical foundation. Suggestions are provided detailing effective strategies to make changes in the culture within schools while offering directions for future research and practice. Bullying, Victimization, and Peer Harassment discusses research on current intervention programs now in place that, until now, has never been evaluated. Several of the studies address middle school issues and multi-ethnic populations, including those from the United States, Canada, and Europe. Peer sexual harassment and dating-related aggression are examined that includes and goes beyond traditional views of bullying and peer intimidation. This valuable handbook provides concise yet extensive information on the most current theory, empirical research, practice guidelines, and suggestions for preparing schools for programmatic initiatives. Topics in Bullying, Victimization, and Peer Harassment include: theory and conceptual issues in victimization, bullying, and peer harassment assessment results from a four-year longitudinal study on peer victimization in early adolescents youth perceptions toward bullying high school students’ victimization profiles immigrant children and victimization evaluating an adolescent violence prevention program a school-based intervention program peer group intervention interventions for victims multiple perspectives involving sexual harassment school-wide approaches to prevention and intervention and much more! Bullying, Victimization, and Peer Harassment is a crucial resource for researchers and mental health professionals who work in schools and who work with children and their families, such as school psychologists, counselors, clinical child psychologists, social workers, and community psychologists.
This book is an introduction to the contemporary representation theory of Artin algebras, by three very distinguished practitioners in the field. Beyond assuming some first-year graduate algebra and basic homological algebra, the presentation is entirely self-contained, so the book is suitable for any mathematicians (especially graduate students) wanting an introduction to this active field.'...written in a clear comprehensive style with full proofs. It can very well serve as an excellent reference as well as a textbook for graduate students.' EMS Newletter
The notions of torsion and torsion freeness have played a very important role in module theory--particularly in the study of modules over integral domains. Furthermore, the use of homological techniques in this connection has been well established. It is the aim of this paper to extend these techniques and to show that this extension leads naturally to several new concepts (e.g. k-torsion freeness and Gorenstein dimension) which are useful in the classification of modules and rings.
This classic monograph is geared toward advanced undergraduates and graduate students. The treatment presupposes some familiarity with sets, groups, rings, and vector spaces. The four-part approach begins with examinations of sets and maps, monoids and groups, categories, and rings. The second part explores unique factorization domains, general module theory, semisimple rings and modules, and Artinian rings. Part three's topics include localization and tensor products, principal ideal domains, and applications of fundamental theorem. The fourth and final part covers algebraic field extensions and Dedekind domains. Exercises are provided at the end of each chapter. Dover (2014) republication of the edition originally published by Harper & Row Publishers, New York, 1974. See every Dover book in print at www.doverpublications.com
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