## Examples of commutative rings |

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Awesome book, an unsung hero, a diamond in the rough. I've used it for 20 years. 167pp = not worth $200 price some ask. Check out a copy and leave it near the xerox room ...

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1-dimensional abelian group affine ring algebraic extension Amer Bezout Bourbaki catenary chain of prime class group closure Cohen—Macaulay commutative rings completely integrally closed contained countable DDDDD Example Dedekind domain direct sum domain with quotient Eakin fact factorial domain flat Fossum fractional ideal G-domain Gilmer Gorenstein group of divisibility Heinzer Hilbert domain Hilbert ring ht(P ideal of height images ofX infinite infinite-dimensional injective integral extension integrally closed domain intersection invertible irreducible isomorphic Jacobson radical Kaplansky 1974b Krull domain Let R0 LetR Math Matsumura 1970 maximal ideal Nagata nilpotent elements Noetherian domain Noetherian ring Noetherian valuation domain nonzero elements Notice polynomial rings positive integer Priifer domain prime integer principal ideal domain principal prime Proc projective pseudo-Bezout pseudo-principal quotient field R-module radical ideal regular domain regular local ring sequence subgroups subring Suppose torsion-free union value group Xu X2 zero-divisor