IMTL-代数的零化算子和⊕理想及其相互关系

摘要

主要对IMTL-代数中的零化算子和⊕理想的性质及其相互关系进行了研究.首先,将零化算子的概念引入到IMTL-代数中,在IMTL-代数中分别讨论了单点零化算子,多点零化算子的性质;其次,将⊕理想的概念引入IMTL-代数中,并对⊕理想的基本性质进行了讨论;最后,给出了IMTL-代数上零化子和⊕理想之间的相互依赖的关系和相互决定的方法.%The main purpose is to study the properties of annihilator operator and⊕ideal with relationships among them. Firstly, the concept of annihilator operator is introduced into IMTL-algebras. The properties of single-point annihilator operator and multiple-point annihilator operator have been investigated respectively. Secondly, ⊕ideal is introduced to IMTL-algebras and its some basic properties are discussed. Finally, the dependent relationship and decision relationship between annihilators and⊕ideals are explored.