Noncommutative rings
by Herstein, Israel N., Small, Lance W.
fromThe Carus mathematical monographs
This beautiful book is the result of the author's wide and deep knowledge of the subject matter, combined with a gift for exposition ... The well selected material is offered in an integrated presentation of the structure theory of noncommutative (associative rings) and its appl…
Cover; Series Page; Title; Copyright; Contents; PREFACE; Chapter 1 RINGS; 1.1 Basic definitions and examples; EXERCISES: SECTION 1.1; 1.2 Ring homomorphisms; EXERCISES: SECTION 1.2; 1.3 Localization of integral domains; EXERCISES: SECTION 1.3; 1.4 Unique factorization; EXERCISES…
"The focus of this book is the study of the noncommutative aspects of rings and modules, and the style will make it accessible to anyone with a background in basic abstract algebra. Features of interest include an early introduction of projective and injective modules; a module …
"The focus of this book is the study of the noncommutative aspects of rings and modules, and the style will make it accessible to anyone with a background in basic abstract algebra. Features of interest include an early introduction of projective and injective modules; a module …
Gathers and unifies the results of the theory of noncommutative semigroup rings, primarily drawing on the literature of the last 10 years, and including several new results. Okninski (Warsaw U., Poland) restricts coverage to the ring theoretical properties for which a systematic…
This monograph is devoted to a new class of non-commutative rings, skew Poincaré-Birkhoff-Witt (PBW) extensions. Beginning with the basic definitions and ring-module theoretic/homological properties, it goes on to investigate finitely generated projective modules over skew PBW e…
