mtl代数的素li -理想空间

IF 0.5 2区数学 Q3 MATHEMATICS

International Journal of Algebra and Computation Pub Date : 2020-01-01 DOI:10.12988/ija.2020.91259

Chunhui Liu, Luoshan Xu

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引用次数: 0

摘要

本文构造了基于mtl代数的素LI -理想和极大LI -理想的拓扑空间。证明了在LI -理想上构造的拓扑空间是紧致的t0空间，在极大LI -理想上构造的拓扑空间是紧致的t2空间。这些给出了非经典数理逻辑和一般拓扑之间的相互作用。数学学科分类:03G10;54 d40;08年a72

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Prime LI-ideal spaces of MTL-algebras

In this paper, topological spaces based on prime LI -ideals and on maximal LI -ideals of an MTL-algebra are constructed. It is proved that the topological spaces constructed on LI -ideals are compact T0spaces and that the topological spaces constructed on maximal LI -ideals are compact T2-spaces. These give interactions between Non-Classical Mathematical Logic and General Topology. Mathematics Subject Classifications: 03G10; 54D40; 08A72

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来源期刊

International Journal of Algebra and Computation 数学-数学

CiteScore

1.20

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The International Journal of Algebra and Computation publishes high quality original research papers in combinatorial, algorithmic and computational aspects of algebra (including combinatorial and geometric group theory and semigroup theory, algorithmic aspects of universal algebra, computational and algorithmic commutative algebra, probabilistic models related to algebraic structures, random algebraic structures), and gives a preference to papers in the areas of mathematics represented by the editorial board.