Quasitilted extensions of algebras I

Authors
Coelho, FU Martins, MIR De la Pena, JA
Citation
Fu. Coelho et al., Quasitilted extensions of algebras I, P AM MATH S, 129(5), 2001, pp. 1289-1297
Citations number
15
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
129
Issue
5
Year of publication
2001
Pages
1289 - 1297
Database
ISI
SICI code
0002-9939(2001)129:5<1289:QEOAI>2.0.ZU;2-W
Abstract
Let A be a connected finite dimensional k-algebra, and let M be a nonzero d ecomposable A-module such that the one-point extension A[M] is quasitilted. We show here that every nonzero indecomposable direct summand of M is dire cting and A is a tilted algebra.