Rings and Categories of Modules (Graduate Texts in Mathematics) - Hardcover

Frank W. Anderson; Kent R. Fuller

Hardcover

ISBN 10: 3540978453 ISBN 13: 9783540978459

Publisher: Springer Verlag

Synopsis

This is a self-contained account of much of the theory of rings and modules. The theme of the text is the relationship between the one-sided ideal structure a ring may possess and the behaviour of its categories of modules. Following a brief outline of the foundations, the book begins with the basic definitions and properties of rings, modules and homomorphisms. The remainder of the text gives comprehensive treatments of direct sums, finiteness conditions, the Wedderburn-Artin theorem, the Jacobson radical, the hom and tensor functions, Morita equivalence and duality, decomposition theory, and semiperfect and perfect rings. This second edition includes a chapter containing many of the classical results on Artinian rings that have helped form the foundation for much of contemporary research on the representation theory of Artinian rings and finite-dimensional algebras.

About this title

About the Author

Born in Brandon, Manitoba, in 1919, Frank W. Anderson was orphaned at 18 months and grew up in foster homes, reform schools and jails. At age 16, he was convicted of killing a prison guard and was sentenced to death. This was commuted to life and he spent the next 15 years in a penitentiary. There he completed his high school education and became the first prisoner in Canada to take university courses behind bars. Paroled in 1951, he completed a BA and an MA in social work from the University of Toronto. He then joined the John Howard Society and became a parole officer. He developed a two-year course in human behaviour that was adopted by several colleges, and he was appointed to the National Parole Board in 1974, placed in charge of the region covering Manitoba, Saskatchewan, Alberta and the Northwest Territories. He held this position until he retired. In 1998, the University of Ottawa created the Frank W. Anderson Archives of Criminology to serve as a resource centre for students across Canada. He married Edna Marshal in 1955 and they had two children. He moved to Saskatoon after retiring and managed Frontier Books, publishing more than 100 books on Canadian history written by himself and other authors, including Ken Liddell and W.O. Mitchell. He also wrote a book about women who were executed in Canada, "A Dance with Death: Canadian Women on the Gallows". Although he was later based in Calgary, Frank wrote, edited and produced numerous titles pertaining to British Columbia.

Edition details

• Publisher: Springer Verlag
• ISBN 10: 3540978453
• ISBN 13: 9783540978459
• Binding: Hardcover
• Language: English
• Edition number: 2
• Number of pages: 376