This volume provides a clear and self-contained introduction to important results in the theory of rings and modules. Assuming only the mathematical background provided by a normal undergraduate curriculum, the theory is derived by comparatively direct and simple methods.
This Cambridge Tract attempts to give a genuinely self-contained and elementary presentation of the basic theory of finite free resolutions, and to provide a sound foundation for... Læs mere
In this introduction to the modern theory of ideals, Professor Northcott first discusses the properties of Noetherian rings and the algebraic and analytical theories of local rings. In... Læs mere
Based on a series of lectures given at Sheffield during 1971–72, this text is designed to introduce the student to homological algebra avoiding the elaborate... Læs mere
In these notes, first published in 1980, Professor Northcott provides a self-contained introduction to the theory of affine algebraic groups for mathematicians with a basic knowledge of communicative algebra and field theory.
Multilinear algebra has important applications in many different areas of mathematics but is usually learned in a rather haphazard fashion. The aim of this book is to provide a readable and systematic account of multilinear algebra at a level suitable for graduate students.