Polynomial maps and Zariski's main theorem (Q1330025)

The author generalizes the main result of \textit{K. Adjamagbo} on an estimation of the cardinality of the fibers of polynomial mappings over integral domains [cf. J. Algebra 168, No. 1, 28-34 (1994; see the preceding review)]. He gives four, gradually more and more general, versions of the above mentioned theorem. The last two are given in pure college-algebras language and express a property of finite field extensions. In the proof, the Zariski main theorem is used.