Falling d‐Ideals in d‐Algebras | Zendy

Young Bae Jun | Zendy; Sun Shin Ahn | Zendy; Kyoung Ja Lee | Zendy

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Falling d‐Ideals in d‐Algebras

Author(s) -

Young Bae Jun,

Sun Shin Ahn,

Kyoung Ja Lee

Publication year - 2011

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2011/516418

Subject(s) - falling (accident) , ideal (ethics) , subalgebra , mathematics , shadow (psychology) , pure mathematics , algebra over a field , philosophy , psychology , epistemology , psychiatry , psychotherapist

Based on the theory of a falling shadow which was first formulated by Wang (1985), atheoretical approach of the ideal structure in -algebras is established. The notions of afalling -subalgebra, a falling -ideal, a falling -ideal, and a falling ♯-ideal of a -algebra are introduced. Some fundamental properties are investigated. Relations among afalling -subalgebra, a falling -ideal, a falling -ideal, and a falling ♯-ideal are stated. Characterizations of falling -ideals and falling ♯-ideals are discussed. A relation betweena fuzzy -subalgebra and a falling -subalgebra is provided

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