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Introduction to - Claude Bernard University Lyon 1
math.univ-lyon1.frChapter 1 Rings and Ideals . 1 Rings and ring homomorphisms 1 Ideals. Quotient rings 2 Zero-divisors. Nilpotent elements. Units. 2 Prime ideals and maximal ideals 3 Nilradical and Jacobson radical 5 Operations on ideals 6 Extension and contraction . 9 Exercises 10 Chapter 2 Modules . 17 Modules and module homomorphisms 17