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Intersection Preserving and Global Expansions of Subalgebras and Filters in Lattice Implication Algebras

Young, B.J., and Yang, X., and Qin, Ke., (2006) Intersection Preserving and Global Expansions of Subalgebras and Filters in Lattice Implication Algebras. Bulletin of the Malaysian Mathematical Sciences Society, 29 (1). pp. 43-49. ISSN 0126-6705

Full text not available from this repository.

Official URL: http://math.usm.my/bulletin/pdf/v29n1/v29n1p6.pdf

Affiliations

Gyeongsang National University, Dept. of Mathematics Education
Southwest Jiaotong University, Dept. of Applied Mathematics

Abstract

The notion of (intersection preserving, global) expansions of subalgebras and filters in lattice implication algebras is introduced. Also the notion of $\sigma$-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 $\sigma$-primary filter are also $\sigma$-primary.


2000 Mathematics Subject Classification: 03G25, 06D05, 06D99

Item Type:Journal
Keywords:Expansion of filters, σ-primary, intersection preserving, global, residual division.
Subjects:Q Science, Computer Science
ID Code:1432

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