Falling ð ‘‘ -Ideals in ð ‘‘ -Algebras

Young Bae Jun, Sun Shin Ahn and Kyoung Ja Lee

Discrete Dynamics in Nature and Society, 2011, vol. 2011, 1-14

Abstract:

Based on the theory of a falling shadow which was first formulated by Wang (1985), a theoretical approach of the ideal structure in ð ‘‘ -algebras is established. The notions of a falling ð ‘‘ -subalgebra, a falling ð ‘‘ -ideal, a falling ð µ ð ¶ ð ¾ -ideal, and a falling ð ‘‘ ♯ -ideal of a ð ‘‘ -algebra are introduced. Some fundamental properties are investigated. Relations among a falling ð ‘‘ -subalgebra, a falling ð ‘‘ -ideal, a falling ð µ ð ¶ ð ¾ -ideal, and a falling ð ‘‘ ♯ -ideal are stated. Characterizations of falling ð ‘‘ -ideals and falling ð ‘‘ ♯ -ideals are discussed. A relation between a fuzzy ð ‘‘ -subalgebra and a falling ð ‘‘ -subalgebra is provided.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:516418

DOI: 10.1155/2011/516418

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