数学季刊 ›› 1995, Vol. 10 ›› Issue (3): 29-31.

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BCC-Algebras and BCK-Algebras

  

  1. Hanzhong   Teacher's    College,723000; Luoyang   Teacher's    College,471022


  • 收稿日期:1995-02-19 出版日期:1995-09-30 发布日期:2025-03-12

BCC-Algebras and BCK-Algebras

  1. Hanzhong   Teacher's    College,723000; Luoyang   Teacher's    College,471022
  • Received:1995-02-19 Online:1995-09-30 Published:2025-03-12

摘要:  We investigate some properties of BCC-algebras and prove the following results:(1) any BCC-algebraX has a subalgebra Z(X),where Z(X)={z∈XIV x,y∈X,x(yz)=y(zz)};(2)the dual algebra of Z(X)is a BCK-algebra. 

关键词: BCC-algebras, BCK-algebras

Abstract:  We investigate some properties of BCC-algebras and prove the following results:(1) any BCC-algebraX has a subalgebra Z(X),where Z(X)={z∈XIV x,y∈X,x(yz)=y(zz)};(2)the dual algebra of Z(X)is a BCK-algebra. 

Key words: BCC-algebras, BCK-algebras

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