01385nam a2200217Ia 4500 CTU_167424 210402s9999 xx 000 0 und d 76 512.4 C686 Colby, Robert Ray Equivalence and duality for module categories : With tilting and cotilting for rings Robert R. Colby, Kent R. Fuller Cambridge, UK Cambridge University Press 2004 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. Rings (Algebra),Mô hình (Hình học),Duality theory (Mathematics),Modules (Algebra),Lý thuyết nhị nguyên (Toán học) Trọng Hiếu Trung tâm Học liệu Trường Đại học Cần Thơ