Chinese Quarterly Journal of Mathematics ›› 2001, Vol. 16 ›› Issue (4): 7-14.

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On the Adjoint Semigroup of Implicative BCK-algebras

  

  1.  陕西师范大学数学系西安高新技术研究所数学系 陕西西安710062
  • Received:2000-04-01 Online:2001-12-30 Published:2024-05-24
  • About author:LUO Min-xia(1964-),female,native of Yuncheng,Shanxi,an associate professor of Shaanxi Normal University,M.S.D.,engages in semigroups theory;SONG Jian-she(1954-),male,native of Xi’an,Shaanxi,a professor of Xi’an Hi-technology Institute,Ph.D.,engages in applied mathematics.
  • Supported by:
    Supported by National Natural Science Foundation of China(69931040)

Abstract: 我们证明了蕴涵BCK_代数的伴随半群是一个上半格 ;具有条件 (s)的蕴涵BCK_代数的伴随半群是一个广义布尔代数。更进一步证明了有界蕴涵BCK_代数的伴随半群是一个布尔代数.

Key words:  , 蕴涵BCK-代数, 上半格, 格, 布尔代数,

CLC Number: