Dimension Theory for Nonsingular Injective Modules.
Goodearl, K.R.
Dimension Theory for Nonsingular Injective Modules. - 1st ed. - 1 online resource (123 pages) - Memoirs of the American Mathematical Society ; v.7 . - Memoirs of the American Mathematical Society .
Intro -- CONTENTS -- INTRODUCTION -- I. PRELIMINARIES -- II. ABELIAN MODULES -- III. DIRECTLY FINITE MODULES -- IV. CENTRAL COVERS AND FAITHFUL IDEMPOTENTS -- V. MODULES OF TYPES I, II, AND III -- VI. MODULES OF TYPES I[sub(f)] , I[sub(∞)] , II[sub(f)] , AND II[sub(∞)] -- VII. DECOMPOSITION INTO TYPES -- VIII. RELATIVE DIMENSION: FIRST STAGE -- IX. RELATIVE DIMENSION: SECOND STAGE -- X. RANGES OF THE RELATIVE DIMENSION FUNCTIONS -- XI. MAXIMAL IDEALS -- XII. INFINITE DIMENSION: FIRST STAGE -- XIII. INFINITE DIMENSION: SECOND STAGE -- XIV. CONCLUSION -- REFERENCES -- INDEX OF DEFINITIONS.
9781470407926
Associative rings.
Injective modules (Algebra).
Dimension theory (Algebra).
Electronic books.
QA251.5 -- .G66 1976eb
510/.8 s;512/.4
Dimension Theory for Nonsingular Injective Modules. - 1st ed. - 1 online resource (123 pages) - Memoirs of the American Mathematical Society ; v.7 . - Memoirs of the American Mathematical Society .
Intro -- CONTENTS -- INTRODUCTION -- I. PRELIMINARIES -- II. ABELIAN MODULES -- III. DIRECTLY FINITE MODULES -- IV. CENTRAL COVERS AND FAITHFUL IDEMPOTENTS -- V. MODULES OF TYPES I, II, AND III -- VI. MODULES OF TYPES I[sub(f)] , I[sub(∞)] , II[sub(f)] , AND II[sub(∞)] -- VII. DECOMPOSITION INTO TYPES -- VIII. RELATIVE DIMENSION: FIRST STAGE -- IX. RELATIVE DIMENSION: SECOND STAGE -- X. RANGES OF THE RELATIVE DIMENSION FUNCTIONS -- XI. MAXIMAL IDEALS -- XII. INFINITE DIMENSION: FIRST STAGE -- XIII. INFINITE DIMENSION: SECOND STAGE -- XIV. CONCLUSION -- REFERENCES -- INDEX OF DEFINITIONS.
9781470407926
Associative rings.
Injective modules (Algebra).
Dimension theory (Algebra).
Electronic books.
QA251.5 -- .G66 1976eb
510/.8 s;512/.4