Geodesic
An algebra which is a maximal commutative subalgebra in very few algebras
Wiesław Żelazko1
1 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-656 Warszawa, Poland
Colloquium Mathematicum, Tome 147 (2017) no. 2, pp. 241-246.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

“Very few” in the title means two. We show that a unital real or complex algebra generated by a nilpotent of order two can be a maximal abelian subalgebra only in two algebras. One of them is of dimension three and the other of dimension four.
DOI : 10.4064/cm6941-6-2016
Keywords: few title means unital real complex algebra generated nilpotent order maximal abelian subalgebra only algebras dimension three other dimension

Wiesław Żelazko 1

1 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-656 Warszawa, Poland 
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Wiesław Żelazko. An algebra which is a maximal commutative subalgebra in very few algebras. Colloquium Mathematicum, Tome 147 (2017) no. 2, pp. 241-246. doi : 10.4064/cm6941-6-2016. http://geodesic.mathdoc.fr/articles/10.4064/cm6941-6-2016/

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