Acta mathematica scientia,Series B ›› 2011, Vol. 31 ›› Issue (5): 2033-2040.doi: 10.1016/S0252-9602(11)60379-2

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SUBALGEBRAS AND FINITISTIC DIMENSIONS OF ARTIN ALGEBRAS

 ZHANG Ai-Ping, ZHANG Shun-Hua   

  1. School of Mathematics and Statistics, Shandong University at Weihai, Weihai 264209, China; School of Mathematics, Shandong University, Jinan 250100, China
  • Received:2009-03-02 Revised:2010-03-02 Online:2011-09-20 Published:2011-09-20
  • Supported by:

    Supported by the NSFC (10771112) and NSF of Shandong Province (Y2008A05).

Abstract:

Let A be an Artin algebra. We investigate subalgebras of A with certain conditions and obtain some classes of algebras whose finitistic dimensions are finite.

Key words: Artin algebras, representation dimension, finitistic dimension

CLC Number: 

  • 16G10
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