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The Structure of Proper BCIalgebras with Order n≤5and Condition (S)

WANG Guojun1, JIANG Xiuyan2   

  1. 1. Department of Mathematics, Zhejiang University, Hangzhou 310028, China;2. Department of Mathematics, Daqing Normal University, Daqing 163712, Heilongjiang Province, China
  • Received:2006-01-17 Revised:1900-01-01 Online:2006-11-26 Published:2006-11-26
  • Contact: WANG Guojun

Abstract: In this paper, the structure of finite BCI-algebras with condition (S) is discussed. Some sufficient conditions and some necessary conditions for the condition (S) are obtained. On this basis, all proper BCI-algebras with order n≤5 and with condition (S) are presented. So far, all proper BCI-algebras with ordern≤5 and with condition (S) have been known.

Key words: BCIalgebra, BCKalgebra, condition (S)

CLC Number: 

  • O153