Author(s): Yutze Chow
Publisher: Gordon and Breach
Year: 1976
Language: English
City: New York
Cover & Errata from MathSciNet review
Title
Preface
Symbols and Notations
Contents of Volume Two
Contents of Volume One
IV. On Modules
§4.1. Modules over a group or a ring
§4.2. Submodules, quotient modules, faithful module and annihilator
§4.3. Module homomorphisms
§4.4. Sum and direct sum of modules
§4.5. Chain condition, Artin and Noether modules, maximum and minimum conditions
§4.6. Submodule generated by a subset and R-linear independence
§4.7. Simplicity, semi-simplicity and composition series
§4.8. Free modules
§4.9. Tensor product
§4.10. Exact sequences, extensions, projective and injective modules
§4.11. Chain complexes, homology and cohomology modules
Problems with hints or solution for Chapter IV
V. On Module Homomorphisms
§5.1. Dimensionality of a Gamma-module
§5.2. Simplicity and semi-simplicity of a Gamma-endo
§5.3. Projection mapping and ring of Gamma-endos
§5.4. Fitting decomposition w.r.t. a Gamma-endo
§5.5. Some properties of polynomials of a K-endo
§5.6. Minimal polynomial of a K-endo
§5.7. Eigen vectors and eigen values of a K-endo
§5.8. Characteristic polynomial and eigen-space decomposition of a K-endo
§5.9. Primary-component decomposition w.r.t. a K-endo
§5.10. Bilinear forms and inner products on K-modules
§5.11. Group representations
Problems with hints or solutions for Chapter V
VI. On Algebras
§6.1. Algebras, ideals and quotient algebras
§6.2. Derivation mappings
§6.3. Algebra homomorphisms
§6.4. Free algebras
§6.5. Tensor algebras and symmetric algebras
§6.6. Exterior product and exterior algebra
§6.7. Lie algebras
§6.8. Derivation mappings, solvability, nilpotency and semi-simplicity in Lie algebras
§6.9. Extensions and representations
Problems with hints or solution for Chapter VI
Index of definitions
