Let H be a finite dimensional algebra over an algebraically closed field and let X be a nontrivial H-module. We investigate the Auslander-Reiten quiver of the one-point extensions H[tau(A)(m)X] and prove in particular the existence of a preinjective component for \m\ much greater than 0. (C) 2004 Elsevier Inc. All rights reserved.
机构:
Department of Mathematics, Faculty of Sciences, Yuzuncu Yil UniversityDepartment of Mathematics, Faculty of Sciences, Yuzuncu Yil University
H. Seferoglu
N. Simsek
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机构:
Department of Mathematics, Faculty of Arts and Sciences, Istanbul Commerce UniversityDepartment of Mathematics, Faculty of Sciences, Yuzuncu Yil University
机构:
Univ Nacl Mar Del Plata, Fac Ciencias Exactas & Nat, Dept Matemat, Funes 3350, RA-7600 Mar Del Plata, ArgentinaUniv Nacl Mar Del Plata, Fac Ciencias Exactas & Nat, Dept Matemat, Funes 3350, RA-7600 Mar Del Plata, Argentina