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标题：Falling <svg style="vertical-align:-0.216pt;width:13.4px;" id="M1" height="15.3625" version="1.1" viewBox="0 0 13.4 15.3625" width="13.4" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.3625)"> <g transform="translate(72,-59.71)"> <text transform="matrix(1,0,0,-1,-71.95,59.97)"> <tspan style="font-size: 17.93px; " x="0" y="0">𝑑</tspan> </text> </g> </g> </svg>-Ideals in <svg style="vertical-align:-0.216pt;width:13.4px;" height="15.3625" version="1.1" viewBox="0 0 13.4 15.3625" width="13.4" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.3625)"> <g transform="translate(72,-59.71)"> <text transform="matrix(1,0,0,-1,-71.95,59.97)"> <tspan style="font-size: 17.93px; " x="0" y="0">𝑑</tspan> </text> </g> </g> </svg>-Algebras
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作者：Young Bae Jun ; Sun Shin Ahn ; Kyoung Ja Lee 等
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2011
卷号：2011
DOI：10.1155/2011/516418
出版社：Hindawi Publishing Corporation
摘要：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.