A module over a ring is a generalization of the notion of vector space over a field, wherein the corresponding scalars are the elements of an arbitrary given ring and a multiplication is defined between elements of the ring and elements of the module.

- Elementary notions and examples,
- Modules,
- Submodules,
- Quotient modules,
- Finitely generated and cyclic modules,
- Exact sequences and elementary notions of homological algebra,
- Noetherian and Artinian rings and modules,
- Radicals,
- Semisimple rings and modules.

- Series in Algebra : Rings Related to Stable Range Conditionsby Chen, Huanyin

Date Published: 2011 - Approximations and Endomorphism Algebras of Modulesby Göbel, Rüdiger

Trlifaj, Jan