1994•Medical Entomology and ZoologyRequires access

Modules and Rings

John Dauns

Abstract

1. Modules 2. Free modules 3. Injective modules 4. Tensor products 5. Certain important algebras 6. Simple modules and primitive rings 7. The Jacobson radical 8. Subdirect product decompositions 9. Primes and semiprimes 10. Projective modules and more on Wedderburn theorems 11. Direct sum decompositions 12. Simple algebras 13. Hereditary rings, free and projective modules 14. Module constructions 15. Categories and functors 16. Module categories 17. Flat modules 18. Purity.

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Key concepts: Simple module, Projective module, Mathematics, Tensor product, Functor, Flat module, Pure mathematics, Injective module