摘要
本文首先证明了MTL-代数上由Boolean元e诱导的商代数同构于区间代数[0,e],继而给出了完备MTL-代数的区间直积分解,最后建立了强完备MTL-代数上的Cantor-Bernstein定理。
In this paper,we first prove that the quotient algebras induced by Boolean elements on MTL-algebras are isomorphic to the corresponding interval algebras,then the interval direct product decomposition of complete MTL-algebras are given.Finally,the Cantor Bernstein theorem on strongly complete MTL-algebras are established.
作者
孟彪龙
姬战怀
梁少辉
辛小龙
MENG Biao-long;JI Zhan-huai;LIANG Shao-hui;XIN Xiao-long(Department of Mathematics,Xi'an University of Science and Technology,Xi'an 710054,China;Department of Mathematics,Northwest University,Xi'an 710054.China)
出处
《模糊系统与数学》
北大核心
2022年第5期34-39,共6页
Fuzzy Systems and Mathematics
基金
国家自然科学基金资助项目(11971384)
陕西省技术创新引导专项(2019CGXNG-029)
陕西省教育厅自然科学专项(17JK0510)。
