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Dreidimensionale assoziative nichtkommutative Algebren

✍ Scribed by Günter Pickert


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
88 KB
Volume
234
Category
Article
ISSN
0021-8693

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✦ Synopsis


HELMUT WIELANDT ZUM 90.GEBURTSTAG GEWIDMET 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 K 3 cannot be represented as commutator in an associative three-dimensional algebra over K.