Modules and rings
This book on modern and non-commutative ring theory is ideal for beginning graduate students. It starts at the foundations of the subject and progresses rapidly through the basic concepts to help the reader reach current research frontiers. Students will have the chance to develop proofs, solve prob...
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge
Cambridge University Press
1994
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Online-Zugang: | DE-12 DE-92 URL des Erstveröffentlichers |
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Inhaltsangabe:
- Modules
- Free modules
- Injective modules
- Tensor products
- Certain important algebras
- Simple modules and primitive rings
- The Jacobson radical
- Subdirect product decompositions
- Primes and semiprimes
- Projective modules and more on Wedderburn theorems
- Direct sum decompositions
- Simple algebras
- Hereditary rings, free and projective modules
- Module constructions
- Categories and functors
- Module categories
- Flat modules
- Purity