Algebra: Chapter 0
by Paolo Aluffi · Paolo Aluffi
A graduate-level algebra text that uses category theory from the start to treat groups, rings, modules, fields and linear algebra in one framework, then continues to homological algebra. Readers learn to work with universal properties, exact sequences and Ext/Tor.
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Wolfram MathWorld
MathWorld is an online mathematics encyclopedia from Wolfram Research offering detailed, browsable articles on topics across the math spectrum, including algebra, geometry, calculus, and number theory. Each entry includes definitions, theorems, formulas, diagrams, worked examples, and links to further reading.
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Questions and answers on Mathematics Stack Exchange tagged for modules over rings: submodules, quotients, homomorphisms, exact sequences, tensor products and free and projective modules. Useful for checking exercise solutions and seeing how standard module-theory arguments are written.