CB-degenerations and rigid degenerations of algebras

Adam Hajduk. "CB-degenerations and rigid degenerations of algebras." Colloquium Mathematicae 106.2 (2006): 305-310. <http://eudml.org/doc/283758>.

@article{AdamHajduk2006,
abstract = {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.},
author = {Adam Hajduk},
journal = {Colloquium Mathematicae},
keywords = {rigid degenerations; CB-degenerations; degeneration theorems; representation types; finite-dimensional algebras; basic algebras; algebraic varieties},
language = {eng},
number = {2},
pages = {305-310},
title = {CB-degenerations and rigid degenerations of algebras},
url = {http://eudml.org/doc/283758},
volume = {106},
year = {2006},
}

TY - JOUR
AU - Adam Hajduk
TI - CB-degenerations and rigid degenerations of algebras
JO - Colloquium Mathematicae
PY - 2006
VL - 106
IS - 2
SP - 305
EP - 310
AB - 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.
LA - eng
KW - rigid degenerations; CB-degenerations; degeneration theorems; representation types; finite-dimensional algebras; basic algebras; algebraic varieties
UR - http://eudml.org/doc/283758
ER -