Decomposition and Dimension in Module Categories
Lecture Notes in Pure and Applied Mathematics, Volume 33
Series: Lecture Notes in Pure and Applied Mathematics; 33;
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Product details:
- Edition number 1
- Publisher CRC Press
- Date of Publication 1 September 1977
- ISBN 9780824766436
- Binding Paperback
- No. of pages200 pages
- Size 254x178 mm
- Weight 362 g
- Language English 0
Categories
Short description:
This book examines the notions of dimension and decomposition for module categories. It discusses some basic properties of quasidecomposition functions and the complete lattice of all quasidecomposition functions taking values in a fixed given lattice.
MoreLong description:
This book examines the notions of dimension and decomposition for module categories. It discusses some basic properties of quasidecomposition functions and the complete lattice of all quasidecomposition functions taking values in a fixed given lattice.
MoreTable of Contents:
1. Quasidecomposition functions 2. Assassin functions 3. Radical functions 4. Associated ideal functions 5. The function 6. Coirreducible modules 7. Decompositions 8. Quasidimension functions 9. The function 10. Relations between quasidecomposition functions and quasidimension functions 11. Linearization of quasidecomposition and quasidimension functions 12. Gabriel dimension 13. Torsion-theoretic Krull dimension 14. GRK-dimension 15. Classical Krull dimension
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