Quantum polynomial algebras
type: Item
instance of: scholarly article
title: Quantum polynomial algebras
zbMATH Open document ID: 0927.16020
DOI: 10.1007/BF02355445
published in: Journal of Mathematical Sciences (New York)
publication date: 1999-05-10T00:00:00Z
review text: In this survey of quantum polynomial algebras, the author describes (after giving the basic definitions) the relation with crossed products and their endomorphisms and derivations. Relations with quantum field theory are briefly dealt with, and skew fields of fractions and the Krull dimension are studied. In a study of projective modules various cancellation theorems are proved, as well as analogues of the theorems of Quillen-Suslin and of Horrocks.
Mathematics Subject Classification ID: 16S35
Mathematics Subject Classification ID: 16W35
Mathematics Subject Classification ID: 16D40
Mathematics Subject Classification ID: 17B37
zbMATH DE Number: 1285146
zbMATH Keywords: quantum polynomial algebras
zbMATH Keywords: crossed products
zbMATH Keywords: endomorphisms
zbMATH Keywords: derivations
zbMATH Keywords: quantum field theory
zbMATH Keywords: skew fields of fractions
zbMATH Keywords: Krull dimension
zbMATH Keywords: projective modules
zbMATH Keywords: cancellation theorems
author: Vyacheslav A. Artamonov
reviewed by: Paul M. Cohn
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1285146