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Dreidimensionale assoziative nichtkommutative Algebren

Authors
Journal
Journal of Algebra
0021-8693
Publisher
Elsevier
Publication Date
Volume
234
Issue
2
Identifiers
DOI: 10.1006/jabr.2000.8550
Keywords
  • Algebren
  • Kommutator
  • Vektorielles Produkt
Disciplines
  • Mathematics

Abstract

Zusammenfassung Every 3-dimensional associative noncommutative algebra A over a field K has a two-dimensional subalgebra. In A there exist commuting, but linearly independent, elements. Therefore the vector product in K3 cannot be represented as commutator in an associative three-dimensional algebra over K.

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