BCHK-代数的亚原子  

Subatoms of BCHK-algebras

作　　者：马引弟 李金龙[1] MA Yin-di;LI Jin-long(College of Mathematics and Computer Science,ShgLanxi 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,陕西汉中723000

出　　处：《数学的实践与认识》2020年第5期300-305,共6页Mathematics in Practice and Theory

基　　金：陕西省教委基金(16JK1133);陕西理工大学校级科研项目(SLG1913)。

摘　　要：在BCHK-代数中引入了亚原子的概念,给出了亚原子的一些性质.证明了有限偏序BCHK-代数一定存在亚原子,且X\{0}等于其所有亚分支的并集.证明了一个BCHK-代数的亚原子和元素0做成的集合是X的一个子代数,不变亚原子和元素0做成的集合是X的一个理想.The concept of subatom was introduced in the BCHK-algebra,some properties of the subatom were given.It was proved that the subatoms must exists in the finite partial ordering BCHK-algebra(X;*,0),and the X\{0}was equal to the union of all its subbranchs.In a BCHK-algebra(X;*,0),It was proved that the S(X)U{0}was a subalgebra of X,and the T(X)U{0}was an ideal of X.

关 键 词：BCHK-代数 偏序BCHK-代数 亚原子 不变亚原子 

分 类 号：O153[理学—数学]