TY - DATA AU - Cohn, Paul M. TI - Introduction to Ring Theory SN - 9781447104759 U1 - 512 23 PY - 2000/// CY - London PB - Springer London, Imprint: Springer KW - Algebra N1 - Remarks on Notation and Terminology -- 1 Basics -- 2 Linear Algebras and Artinian Rings -- 3 Noetherian Rings -- 4 Ring Constructions -- 5 General Rings -- Outline Solutions -- Notations and Symbols N2 - Most parts of algebra have undergone great changes and advances in recent years, perhaps none more so than ring theory. In this volume, Paul Cohn provides a clear and structured introduction to the subject. After a chapter on the definition of rings and modules there are brief accounts of Artinian rings, commutative Noetherian rings and ring constructions, such as the direct product. Tensor product and rings of fractions, followed by a description of free rings. The reader is assumed to have a basic understanding of set theory, group theory and vector spaces. Over two hundred carefully selected exercises are included, most with outline solutions UR - https://doi.org/10.1007/978-1-4471-0475-9 ER -