Equivalence and duality for module categories : With tilting and cotilting for rings

This book provides a unified approach to much of the theories of equivalence and duality between categories of modules that has transpired over the last 45 years. More recently, many authors (including the authors of this book) have investigated relationships between categories of modules over a pai...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Colby, Robert Ray
التنسيق: كتاب
اللغة:Undetermined
منشور في: Cambridge, UK Cambridge University Press 2004
الموضوعات:
الوسوم: إضافة وسم
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Thư viện lưu trữ: Trung tâm Học liệu Trường Đại học Cần Thơ
الوصف
الملخص:This book provides a unified approach to much of the theories of equivalence and duality between categories of modules that has transpired over the last 45 years. More recently, many authors (including the authors of this book) have investigated relationships between categories of modules over a pair of rings that are induced by both covariant and contravariant representable functors, in particular, by tilting and cotilting theories. Collecting and unifying the basic results of these investigations with innovative and easily understandable proofs, the authors provide an aid to further research on this central topic in abstract algebra.