摘要
研究ＢＺ代数与ＢＺ１－代数的一些性质，其中有拟交错性、非零不相等元素的不可比较性、可交换性、拟正蕴涵性、正蕴涵性以及蕴涵性等．讨论了这些性质的相互关系．另外还讨论一类特殊的ＢＺ代数的构造，得到它的结构定理．
The properties of BZ-algebras and BZ1-algebras,such as quasi-alternativity,commutativity,noncomparability of any two nonzero nonequal elements,positive implicativi-ty,quasi-positive implicativity and implicativity,were studied and relations between themwere discussed.A construction theorem on the calss of BZ-algebras in which any two nonzerononequal elements are noncomparable was gived.
出处
《华东理工大学学报（自然科学版）》
CAS
CSCD
1995年第3期353-358,共6页
Journal of East China University of Science and Technology
关键词
代数
BZ-代数
BZ1-代数
Iseki和
algebra
BZ-algebra
BZ1-algebra
anti-grouped BZ-algebra
Iseki’s sum
construction theorem
