New classes of test polynomials of polynomial algebras
A polynomial \(p(X)\) in the polynomial algebra \(K[X]=K[x_1,\ldots,x_n]\) over a field \(K\) is called a test polynomial if any endomorphism fixing \(p(X)\) is an automorphism. The main purpose of the paper under review is to construct new classes of test polynomials and to give in explicit form all automorphisms fixing these test polynomials. In particular, the authors solve some problems raised in the recent paper by the reviewer and one of the authors [\textit{V. Drensky} and \textit{J.-T. Yu}, J. Algebra 207, No. 2, 491-510 (1998)].
scientific article; zbMATH DE number 1394422