Counting Witt rings
Finitely generated Witt rings of elementary type with the product operation form a graded structure with the gradation given by the size of the underlying group of square classes. Modifying slightly the setup, the author obtains an almost free graded structure for which it is possible to find an asymptotic estimate for the number of elements with a fixed value of the gradation function. The latter is studied in an abstract setting by using the approach of \textit{E. A. Bender} and \textit{J. R. Goldman} [Indiana Univ. Math. J. 20, 753-765 (1971; Zbl 0217.01803)].
scientific article; zbMATH DE number 1213835
scientific article