Ramification in infinite integral extensions
The paper under review is the third of the authors' series on the theme of integral closure and ramification of prime ideals in infinite algebraic extensions. [For the two preceding papers see J. Algebra 136, No. 1, 197-247 (1991; Zbl 0815.13004) and ibid. 143, No. 2, 436-469 (1991; Zbl 0755.14015).] While in the first part the authors discussed the integral extensions of a quasilocal domain \(R\) which is compositumwise unramified over \(R\), here they relax the condition of compositumwise unramifiedness of essentially integral extensions by developing a systematic study of the behaviour of these properties by passing to integral extensions. The paper ends up by proposing a number of questions.
scientific article; zbMATH DE number 705007