Counting Witt rings
type: Item
instance of: scholarly article
title: Counting Witt rings
zbMATH Open document ID: 0987.11029
published in: Journal of Algebra
publication date: 2002-04-07T00:00:00Z
review text: 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)].
reviewed by: Kazimierz Szymiczek
Mathematics Subject Classification ID: 11E81
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 05A16
zbMATH DE Number: 1213835
zbMATH Keywords: finitely generated Witt ring
zbMATH Keywords: almost free graded structure
author: Mieczysław Kula
MaRDI profile type: Publication
full work available at URL: jabr.1998.7420
OpenAlex ID: W1971263868
cites work: Q3050437
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DOI: 10.1006/JABR.1998.7420
description: scientific article; zbMATH DE number 1213835