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What is Theory of R-Modules: Direct Products & Sums about?

1. This chapter discusses modules over a ring R, including direct products, direct sums, and free modules of modules. 2. It defines commutative diagrams and establishes universal properties of direct products and direct sums of modules. 3. For a family of modules indexed by a set I, the direct product has a universal property such that there is a unique homomorphism from any other module to the direct product satisfying certain conditions. Dually, the direct sum has a universal property for homomorphism

Author

Van Vi

Language

EN