This book
explains the following topics: Groups, The Sylow theorems, The Jordan-Holder
theorem and solvable groups, Free groups and free products, Modules,
Localization of rings and modules, Free modules and rank, Infinite Galois
theory, Cyclotomic fields, Kummer Theory , Cyclic Galois extensions,
Calculation of Galois groups.
This note explains the
following topics: Group Theory, Sylow’s Theorem, Field and Galois Theory,
Elementary Factorization Theory, Dedekind Domains, Module Theory, Ring
Structure Theory, Tensor Products.
This book is intended as a sequel to
our Elementary Algebra for Schools. The first few chapters are devoted to a
fuller discussion of Ratio, Proportion, Variation, and the Progressions, and
then introduced theorems with examples.
Author(s): Henry
Sinclair Hall, Samuel Ratcliff Knight
This book
explains the following topics: Groups, The Sylow theorems, The Jordan-Holder
theorem and solvable groups, Free groups and free products, Modules,
Localization of rings and modules, Free modules and rank, Infinite Galois
theory, Cyclotomic fields, Kummer Theory , Cyclic Galois extensions,
Calculation of Galois groups.
This
note covers the following topics: Disintegration and Assembly, Associative
Algebras and Their Modules, Algebras and Modules over alpha operads, Little
Cubes and Factorizable Sheaves, Algebraic Structures on alpha Categories,
Algebra in the Stable Homotopy Category.