On the tameness of trivial extension algebras

• Autorzy: Ibrahim Assem , José Antonio de la Peña
• Języki publikacji: EN

Abstrakty

EN

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 $T_A$ is a tilting module and $B=End T_A$, then T(A) is tame if and only if T(B) is tame.

Kategorie tematyczne

• 16G60: Representation type (finite, tame, wild, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1996
• Tom: 149
• Numer: 2
• Strony: 171-181

Daty

wydano

1996

otrzymano

1995-02-27

poprawiono

1995-09-21

Twórcy

autor

Ibrahim Assem

• Département de Mathématiques et Informatique, Université de Sherbrooke, Sherbrooke, Québec, Canada, J1K 2R1

autor

José Antonio de la Peña

• Instituto de Matemáticas, Universidad Nacional, Autónoma de México, México 04510, D.F., México

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