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.