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标题：The Theory of Falling Shadows Applied to <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
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2012
卷号：2012
DOI：10.1155/2012/693090
出版社：Hindawi Publishing Corporation
摘要：On the basis of the theory of a falling shadow which was first formulated by Wang (1985), the notion of falling 𝑑∗-ideals in 𝑑-algebras is introduced, and related properties are investigated. Characterizations of a falling 𝑑∗-ideal are established. Relations among falling 𝑑∗-ideals, falling 𝑑-ideals, falling 𝑑#-ideals, falling 𝑑-subalgebras, and falling BCK-ideals are discussed.