Regia di Danny Leiner vedi scheda film
– Inverse limits, completion of a ring/module with respect to an ideal, and Hensel’s lemma for complete local rings.
Suitable for advanced undergraduates, graduate students, and researchers in algebra, number theory, or algebraic geometry. Best used as a reference or as a second course text.
– This is the heart of the volume. Includes integral dependence, going-up and going-down theorems, Noether normalization lemma, and Dedekind domains. The treatment of valuation rings (both discrete and general) is classical and thorough.
– Covers the ascending chain condition, Hilbert basis theorem, primary decomposition (following Emmy Noether), and associated prime ideals.
– Sets, groups, rings, fields, and especially modules over a ring. This chapter introduces tensor products, exact sequences, and the Hom functor—modern tools that were not yet standard in all algebra texts of the era.