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- Title
Postprojective components for algebras with certain heredity conditions.
- Authors
Angeleri-Hügel, Lidia; Coelho, Flávio Ulhoa
- Abstract
Let $ {\mit\Lambda} $ be a connected artin algebra with the postprojective partition $ {\cal P}_0 , \cdots , {\cal P}_n , \cdots , {\cal P}\!_{\infty } $ , and assume that $ {\cal P}_0 \cup {\cal P}_1 $ is closed under indecomposable submodules. Then either $ {\mit\Lambda} $ is the radical square zero algebra given by the quiver $ {\tilde {\bf\it A}}_n $ with cyclic orientation, or the Auslander-Reiten-quiver of $ {\mit\Lambda} $ has a postprojective component $ {\mit\Gamma} $ cosisting of the modules in $ \bigcup \limits _{n\in {\Bbb N}_0}{\cal P}_n $ .
- Publication
Archiv der Mathematik, 1997, Vol 69, Issue 1, p1
- ISSN
0003-889X
- Publication type
Article
- DOI
10.1007/s000130050086