CONTENTS
INTRODUCTION iv
PRELIMINARIES 1
ABELIAN MODULES 12
DIRECTLY FINITE MODULES l6
CENTRAL COVERS AND FAITHFUL IDEMPOTENTS 25
MODULES OFTYPES I, II, AND III 30
MODULES OFTYPES I..I
f
II_ , AND II *fO
DECOMPOSITION INTO TYPES kG
RELATIVE DIMENSION: FIRST STAGE 50
RELATIVE DIMENSION: SECOND STAGE 6l
RANGES OF THE RELATIVE DIMENSION FUNCTIONS 69
MAXIMAL IDEALS 83
INFINITE DIMENSION: FIRST STAGE 92
INFINITE DIMENSION: SECOND STAGE 99
CONCLUSION 105
REFERENCES 110
INDEX OF DEFINITIONS 112
111
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