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Decomposition and Dimension in Module Categories Jonathan S. Golan

Decomposition and Dimension in Module Categories By Jonathan S. Golan

Decomposition and Dimension in Module Categories by Jonathan S. Golan

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Summary

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.

Decomposition and Dimension in Module Categories Summary

Decomposition and Dimension in Module Categories by Jonathan S. Golan

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.

About Jonathan S. Golan

Jonathan S. Golan

Table 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

Additional information

NLS9780824766436
9780824766436
0824766431
Decomposition and Dimension in Module Categories by Jonathan S. Golan
Jonathan S. Golan
Lecture Notes in Pure and Applied Mathematics
New
Paperback
Taylor & Francis Inc
1977-09-01
200
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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