Title of article :
Intersection Preserving and Global Expansions of Subalgebras and Filters in Lattice Implication Algebras
Author/Authors :
Jun, Young Bae Gyeongsang National University - Department of Mathematics Education and (RINS), Korea , Xu, Yang Southwest Jiaotong University - Department of Applied Mathematics, China , Qin, Keyun Southwest Jiaotong University - Department of Applied Mathematics, China
Abstract :
The notion of (intersection preserving, global) expansions of subalgebras and filters in lattice implication algebras is introduced. Also the notion of CT-primary filters in lattice implication algebras is discussed. The concept of residual division is defined, and related properties are investigated. We show that the homomorphic and inverse image of CT-primary filter are also CT-primary.
Keywords :
Expansion of filters , CT , primary , intersection preserving , global , residual division.
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
