Geodesic
CB-degenerations and rigid degenerations of algebras
Adam Hajduk1
1 Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/18 87-100 Toruń, Poland
Colloquium Mathematicum, Tome 106 (2006) no. 2, pp. 305-310.

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

The main aim of this note is to prove that if $k$ is an algebraically closed field and a $k$-algebra $A_0$ is a CB-degeneration of a finite-dimensional $k$-algebra $A_1$, then there exists a factor algebra $\,\overline{\!A}_0$ of $A_0$ of the same dimension as $A_1$ such that $\,\overline{\!A}_0$ is a CB-degeneration of $A_1$. As a consequence, $\,\overline{\!A}_0$ is a rigid degeneration of $A_1$, provided $A_0$ is basic.
DOI : 10.4064/cm106-2-10
Keywords: main note prove algebraically closed field k algebra cb degeneration finite dimensional k algebra there exists factor algebra overline dimension overline cb degeneration consequence overline rigid degeneration provided basic

Adam Hajduk 1

1 Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/18 87-100 Toruń, Poland 
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Adam Hajduk. CB-degenerations and rigid degenerations
 of algebras. Colloquium Mathematicum, Tome 106 (2006) no. 2, pp. 305-310. doi : 10.4064/cm106-2-10. http://geodesic.mathdoc.fr/articles/10.4064/cm106-2-10/

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