Pure and applied mathematics; a series of monographs and textbooks ; 7
Pure and applied mathematics (Academic Press) ; 7.
İçerik:
Prerequisite knowledge and terminological conventions -- Monoids -- Groups -- Rings and modules -- Algebras -- Associative algebras.
Özet:
This book is an attempt to adapt the teaching of algebra to meet the demands of present-day mathematics. The demands on algebra come from topology, analysis, and algebraic geometry. While these demands are of various types, but the module is essential, which is why the theory of modules is important. The operations from the general theory of modules which are considered to contain "what everybody must know" from the theory.