关于BCH-代数原子与分支的一些结果  

Some results about atoms and branches of BCH-algebra

作　　者：李金龙[1] LI Jinlong(College of Mathematics and Computer Science,Shanxi University of Technology,Hanzhong 723000,China)

机构地区：[1]陕西理工大学数学与计算机科学学院

出　　处：《安徽大学学报（自然科学版）》2019年第5期11-16,共6页Journal of Anhui University(Natural Science Edition)

基　　金：陕西省教育厅专项科学研究计划资助项目(16JK1165)

摘　　要：在一个BCH-代数〈X;*,0〉中,证明X的任一元素的广义结合乘积等于它所在分支中的原子,给出两个分支的并是X的一个理想的一个充分条件.在一个偏序BCH-代数〈X;*,0〉中,给出X的两非空子集的乘积有最小元的一个充分条件,以及两个分支的并是X的一个子代数的一个充要条件.In a BCH-algebra〈X;*,0〉,it was proved that the generalized associative product of any element in X was equal to the atom in its branch,a sufficient condition that the union of two branches was an ideal of X was given.In a partial ordering BCH-algebra〈X;*,0〉,a sufficient condition that the product of two nonempty subsets of X had the minimal element was given,a sufficient and necessary condition that the union of two branches was a subalgebra of X was given.

关 键 词：BCH-代数 偏序BCH-代数 原子 分支 

分 类 号：O152[理学—数学]