Basic Notions of Algebra

• Κύριος συγγραφέας: Shafarevich, Igor R. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005.
• Σειρά: Encyclopaedia of Mathematical Sciences, 11
• Θέματα: Mathematics.; K-theory.; Topological groups.; Lie groups.; Topological Groups, Lie Groups.; K-Theory.

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Πίνακας περιεχομένων:

• What is Algebra?
• Fields
• Commutative Rings
• Homomorphisms and Ideals
• Modules
• Algebraic Aspects of Dimension
• The Algebraic View of Infinitesimal Notions
• Noncommutative Rings
• Modules over Noncommutative Rings
• Semisimple Modules and Rings
• Division Algebras of Finite Rank
• The Notion of a Group
• Examples of Groups: Finite Groups
• Examples of Groups: Infinite Discrete Groups
• Examples of Groups: Lie Groups and Algebraic Groups
• General Results of Group Theory
• Group Representations
• Some Applications of Groups
• Lie Algebras and Nonassociative Algebra
• Categories
• Homological Algebra
• K-theory.