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Classes of Modules

John Dauns and Yiqiang Zhou
Publisher: 
Chapman & Hall/CRC
Publication Date: 
2006
Number of Pages: 
218
Format: 
Hardcover
Series: 
Pure and Applied Mathematics 281
Price: 
89.95
ISBN: 
1584886609
Category: 
Monograph
We do not plan to review this book.

 PRELIMINARY BACKGROUND
Notation and Terminology
Lattices
IMPORTANT MODULE CLASSES AND CONSTRUCTIONS
Torsion Theory
The Module Class s[M]
Natural Classes
M-Natural Classes
Pre-Natural Classes
FINITENESS CONDITIONS
Ascending Chain Conditions
Descending Chain Conditions
Covers and Ascending Chain Conditions
TYPE THEORY OF MODULES: DIMENSION
Type Submodules and Type Dimensions
Several Type Dimension Formulas
Some Non-Classical Finiteness Conditions
TYPE THEORY OF MODULES: DECOMPOSITIONS
Type Direct Sum Decompositions
Decomposability of Modules
Unique Type Closure Modules
TS-Modules
LATTICES OF MODULE CLASSES
The Lattice of Pre-Natural Classes
More Sublattice Structures
Lattice Properties of Npr (R)
More Lattice Properties of Npr (R)
The Lattice Nr(R) and Its Applications
The Boolean Ideal Lattice
REFERENCES
INDEX

Dummy View - NOT TO BE DELETED