Nilpotent elements and nil-radicals of alternative algebras
type: Item
instance of: scholarly article
title: Nilpotent elements and nil-radicals of alternative algebras
zbMATH Open document ID: 0603.17014
DOI: 10.1007/BF01978847
published in: Algebra and Logic
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/187333
review text: The author proves that in a relatively free alternative algebra, over a field of characteristic zero, the nil-radical is equal to the sum of the nilpotent ideals. He also shows that exceptional prime alternative algebras do exist, and from this deduces that there are elements of finite order in a free alternative ring.
Mathematics Subject Classification ID: 17D05
zbMATH DE Number: 3973115
zbMATH Keywords: finite basis rank
zbMATH Keywords: nilpotent nil-algebras
zbMATH Keywords: varieties of alternative algebras
zbMATH Keywords: free alternative algebra
zbMATH Keywords: characteristic zero
zbMATH Keywords: nil-radical
zbMATH Keywords: exceptional prime alternative algebras
zbMATH Keywords: elements of finite order
author: Sergey V. Pchelintsev
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3973115