Examples and counterexamples in commutative ring theory (Q1891718)

The paper under review is the fourth of the authors' series on the theme of integral closure and ramification of prime ideals in infinite field extensions. [For the three preceding papers see J. Algebra 136, No. 1, 197-247 (1991; Zbl 0815.13004), ibid. 143, No. 2, 436-469 (1991; Zbl 0755.14015) and 170, No. 3, 861-879 (1994; see the preceding review).] In this part of the paper the authors give several examples and counterexamples concerning the preservation of certain good ring- theoretic properties undergoing to the integral closure in infinite algebraic field extensions. These examples and counterexamples illustrate the theory developed in the first three parts of the paper.