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  • 标题:On some classes of BCH-algebras
  • 本地全文:下载
  • 作者:Muhammad Anwar Chaudhry ; Hafiz Fakhar-Ud-Din
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:2001
  • 卷号:25
  • DOI:10.1155/S0161171201003957
  • 出版社:Hindawi Publishing Corporation
  • 摘要:The concept of a BCH-algebra is a generalization of the concept of a BCI-algebra. It is shown that weakly commutative BCH-algebras are weakly commutative BCI-algebras. Moreover, the concepts of weakly positive implicative and weakly implicative BCH-algebras are defined and it is shown that every weakly implicative BCH-algebra is a weakly positive implicative BCH-algebra. The weakly positive implicative BCH-algebras are characterized with the help of their self maps. Two open problems are posed.
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