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Quasitilted extensions of algebras I
Author(s):
Flávio
Ulhoa
Coelho;
Maria
Izabel
R. Martins;
José
Antonio
de la Peña
Journal:
Proc. Amer. Math. Soc.
129
(2001),
1289-1297.
MSC (2000):
Primary 16G70, 16G20, 16E10
Posted:
October 24, 2000
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Abstract:
Let  be a connected finite dimensional  -algebra, and let  be a nonzero decomposable  -module such that the one-point extension ![$A[M]$](/proc/2001-129-05/S0002-9939-00-05667-7/gif-abstract0/img5.gif) is quasitilted. We show here that every nonzero indecomposable direct summand of  is directing and  is a tilted algebra.
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Additional Information:
Flávio
Ulhoa
Coelho
Affiliation:
Departamento de Matemática-IME, Universidade de São Paulo, CP 66281, São Paulo, SP, 05315-970, Brazil
Email:
fucoelho@ime.usp.br
Maria
Izabel
R. Martins
Affiliation:
Departamento de Matemática-IME, Universidade de São Paulo, CP 66281, São Paulo, SP, 05315-970, Brazil
Email:
bel@ime.usp.br
José
Antonio
de la Peña
Affiliation:
Instituto de Matemáticas, UNAM, Mexico 04510 D.F., Mexico
Email:
jap@matem.unam.mx
DOI:
10.1090/S0002-9939-00-05667-7
PII:
S 0002-9939(00)05667-7
Keywords:
Quasitilted algebras,
one-point extensions,
directing modules
Received by editor(s):
October 9, 1998
Received by editor(s) in revised form:
August 11, 1999
Posted:
October 24, 2000
Communicated by:
Ken Goodearl
Copyright of article:
Copyright
2000,
American Mathematical Society
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