About the Book
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 80. Chapters: Chinese remainder theorem, Integral domain, Spectrum of a ring, Hilbert's basis theorem, Euclidean domain, Principal ideal domain, Dual number, Field of fractions, Ascending chain condition, Dedekind domain, Commutative ring, Polynomial ring, Puiseux series, Nakayama lemma, Gr bner basis, Valuation ring, Pr fer domain, Integrality, Wu's method of characteristic set, Lasker-Noether theorem, Stanley-Reisner ring, Discrete valuation ring, Hensel's lemma, B zout domain, Completion, Principal ideal ring, Hahn series, Serre-Swan theorem, Cohen-Macaulay ring, Homological conjectures in commutative algebra, Henselian ring, Weierstrass preparation theorem, Atomic domain, Excellent ring, Divided power structure, Quillen-Suslin theorem, Essential extension, Going up and going down, Buchberger's algorithm, Complete intersection, Depth, K hler differential, Combinatorial commutative algebra, Serre's multiplicity conjectures, GCD domain, Differential calculus over commutative algebras, Invariant basis number, Local parameter, Schubert variety, Hilbert polynomial, Laurent polynomial, Krull dimension, Fitting ideal, Primary ideal, Tensor product of algebras, Koszul-Tate resolution, Numerical polynomial, List of commutative algebra topics, Total quotient ring, Minimal prime, Regular sequence, Generic flatness, Andr -Quillen cohomology, Krull ring, Nilradical of a ring, Noetherian module, Quasi-homogeneous polynomial, Local cohomology, Tight closure, Integrally closed, Noether normalization lemma, Gorenstein ring, Multiplier ideal, Finitely-generated algebra, Nagata ring, Artinian ideal, Associated prime, Catenary ring, Irrelevant ideal, Auslander-Buchsbaum formula, Extension and contraction of ideals, Unibranch local ring, Ring of mixed characteristic, Hilbert-Samuel function, Artin approximation theorem, Ideal theory, Rabinowitsch ...
