Decomposition and dimension in module categories

Bibliographic Information

Decomposition and dimension in module categories

Jonathan S. Golan

(Lecture notes in pure and applied mathematics, v. 33)

M. Dekker, c1977

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Note

Bibliography: p. 169-175

Includes indexes

Description and Table of Contents

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.

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

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