Dimension polynomials of difference local algebras (Q895974)

Difference dimension polynomials, if they exist, are a useful tool for obtaining new results on the structure of difference algebras (see, for example, [\textit{A. B. Levin}, Difference algebra. New York: Springer (2008; Zbl 1209.12003), Section 4.6]). In the paper, the author shows that for a finitely generated well-mixed difference algebra with a reflexive difference prime ideal one can introduce the concept of a difference dimension polynomial ``and gives its expression in terms of difference dimension polynomials of certain finitely generated difference field extensions''.