CB-degenerations and rigid degenerations of algebras

• Autorzy: Adam Hajduk
• Języki publikacji: EN

Abstrakty

EN

The main aim of this note is to prove that if k is an algebraically closed field and a k-algebra A₀ is a CB-degeneration of a finite-dimensional k-algebra A₁, then there exists a factor algebra Ā₀ of A₀ of the same dimension as A₁ such that Ā₀ is a CB-degeneration of A₁. As a consequence, Ā₀ is a rigid degeneration of A₁, provided A₀ is basic.

Kategorie tematyczne

• 16G60: Representation type (finite, tame, wild, etc.)
• 14A10: Varieties and morphisms

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2006
• Tom: 106
• Numer: 2
• Strony: 305-310

Daty

wydano

2006

Twórcy

autor

Adam Hajduk

• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

Identyfikatory

DOI

10.4064/cm106-2-10