摘要
BCI-代数中的理想是一个极其重要的概念 .本文引入两类不同的理想 ,即广义结合理想与拟右交错理想 .研究了他们与理想、结合理想、P-理想的关系 .并用广义结合理想子代数 ,刻画了广义结合 BCI-代数 .指明了拟右交错理想与结合理想的不同之处 .用拟右交错理想刻画了拟右交错
The ideal of BCI-algebra is a very important concept. This paper introduced two types different ideals:general associated ideal and quasi-right alternating ideal. This paper studied the relations of its with ideal,associated ideal,P-ideal,and portraied general associated BCI-algebra by generalassociated ideal subalgebra. Moreover,the paper indicated the difference in quasi-right alternating ideal with associated ideal,portraied quasi-right BCI-algebra by quasi-right alternating ideal.
出处
《纯粹数学与应用数学》
CSCD
2003年第1期52-56,61,共6页
Pure and Applied Mathematics
基金
汉中师范学院科研基金资助项目 (XY991 1 )
关键词
理想
结合理想
P-理论
广义结合理想
拟右交错理想
ideal,associated ideal,P-ideal,general associated ideal,quasi-right alternating ideal
