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Title

On the tameness of trivial extension algebras

Authors 1, 2

Affiliations

  1. Département de Mathématiques et Informatique, Université de Sherbrooke, Sherbrooke, Québec, Canada, J1K 2R1
  2. Instituto de Matemáticas, Universidad Nacional, Autónoma de México, México 04510, D.F., México

Abstract

For a finite dimensional algebra A over an algebraically closed field, let T(A) denote the trivial extension of A by its minimal injective cogenerator bimodule. We prove that, if TA is a tilting module and B=EndTA, then T(A) is tame if and only if T(B) is tame.

Bibliography

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Additional information

http://matwbn.icm.edu.pl/ksiazki/fm/fm149/fm14926.pdf

Fundamenta Mathematicae
1996/149/2
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Pages:
171-181
Main language of publication
English
Received
1995-02-27
Accepted
1995-09-21
Published
1996
Exact and natural sciences