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A Course in Ring Theory
About this Title
Donald S. Passman, University of Wisconsin, Madison, WI
Publication: AMS Chelsea Publishing
Publication Year:
2004; Volume 348
ISBNs: 978-0-8218-3680-4 (print); 978-1-4704-2999-7 (online)
DOI: https://doi.org/10.1090/chel/348
Table of Contents
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Front/Back Matter
Projective modules
- Modules and homomorphisms
- Projective modules
- Completely reducible modules
- Wedderburn rings
- Artinian rings
- Hereditary rings
- Dedekind domains
- Projective dimension
- Tensor products
- Local rings
Polynomial rings
- Skew polynomial rings
- Grothendieck groups
- Graded rings and modules
- Induced modules
- Syzygy theorem
- Patching theorem
- Serre conjecture
- Big projectives
- Generic flatness
- Nullstellensatz
Injective modules