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
From page
43
To page
49
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
Record number
2549728
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