JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (6): 85-91.doi: 10.6040/j.issn.1671-9352.0.2016.086

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Representation dimension of one-point extension algebras

SUN Wei-kun, LIN Han-xing   

  1. School of Science, Tianjin University of Technology and Education, Tianjin 300222, China
  • Received:2016-03-07 Online:2016-06-20 Published:2016-06-15

Abstract: Let A be a representation-infinite Artin algebra and M be a left A-module. Let Λ be the one-point extension algebra of A. If Fac(M)is a tilting torsion class and also that M is a direct summand of an Auslander generator about A, then the representation dimension of Λ is not greater than the maximum of representation dimension of A and global dimension of A plus 2. If M is an APR-tilting module or the projective part of a BB-tilting module, the conclusion still holds.

Key words: tilting modules, representation dimension, one-point extension

CLC Number: 

  • O154.2
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