CONTENTS (A) INTRODUCTION 1 (B) IDEMPOTENTS AND LINEAR MAPS OF (R)n 5 (C) EQUIVALENCE TRANSFORMATIONS AND INVOLUTIONS 7 (D) INVERTIBLE SUBMODULES OF (R)R AND EQUIVALENCE TRANSFORMATIONS . . TO (E) RANK ONE ENDOMORPHISMS 27 (F) THE LOCAL CASE 34 (G) THE GLOBAL CASE 42 (H) APPLICATIONS 54 REFERENCES 66 i i i
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