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020 _a9781447104759
_9978-1-4471-0475-9
082 _a512
_223
100 _aCohn, Paul M.
_920873
245 _aIntroduction to Ring Theory
_h[electronic resource] /
_cby Paul M. Cohn.
250 _a1st ed. 2000.
260 _aLondon :
_bSpringer London :
_bImprint: Springer,
_c2000.
300 _aX, 229 p.
_bonline resource.
505 _aRemarks 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.
520 _aMost 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.
650 _aAlgebra.
_920874
650 _aAlgebra.
_920874
856 _uhttps://doi.org/10.1007/978-1-4471-0475-9
942 _cEBK
999 _c13689
_d13689