The Theory of Falling Shadows Applied to ð ‘‘ -Ideals in ð ‘‘ -Algebras

Young Bae Jun and Sun Shin Ahn

International Journal of Mathematics and Mathematical Sciences, 2012, vol. 2012, 1-10

Abstract:

On the basis of the theory of a falling shadow which was first formulated by Wang (1985), the notion of falling 𠑑 ∗ -ideals in 𠑑 -algebras is introduced, and related properties are investigated. Characterizations of a falling 𠑑 ∗ -ideal are established. Relations among falling 𠑑 ∗ -ideals, falling 𠑑 -ideals, falling 𠑑 # -ideals, falling 𠑑 -subalgebras, and falling BCK -ideals are discussed.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:693090

DOI: 10.1155/2012/693090

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