Falling d-Ideals in d-Algebras

Based on the theory of a falling shadow which was first formulated by Wang (1985), a theoretical approach of the ideal structure in d-algebras is established. The notions of a falling d-subalgebra, a falling d-ideal, a falling BCK-ideal, and a falling d♯-ideal of a d-algebra are introduced. Some fun...

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Bibliographic Details
Published in:Discrete dynamics in nature and society 2011, Vol.2011 (2011), p.1-14
Main Authors: Jun, Young Bae, Ahn, Sun Shin, Lee, Kyoung Ja
Format: Article
Language:English
Online Access:Get full text
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Summary:Based on the theory of a falling shadow which was first formulated by Wang (1985), a theoretical approach of the ideal structure in d-algebras is established. The notions of a falling d-subalgebra, a falling d-ideal, a falling BCK-ideal, and a falling d♯-ideal of a d-algebra are introduced. Some fundamental properties are investigated. Relations among a falling d-subalgebra, a falling d-ideal, a falling BCK-ideal, and a falling d♯-ideal are stated. Characterizations of falling d-ideals and falling d♯-ideals are discussed. A relation between a fuzzy d-subalgebra and a falling d-subalgebra is provided.
ISSN:1026-0226
1607-887X