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标题：<svg style="vertical-align:-0.27pt;width:21.862499px;" id="M1" height="15.8625" version="1.1" viewBox="0 0 21.862499 15.8625" width="21.862499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.8625)"> <g transform="translate(72,-59.31)"> <text transform="matrix(1,0,0,-1,-71.95,59.63)"> <tspan style="font-size: 17.93px; " x="0" y="0">𝒩</tspan> </text> </g> </g> </svg>-Structures Applied to Closed Ideals in BCH-Algebras
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作者：Young Bae Jun ; Mehmet Ali Öztürk ; Eun Hwan Roh 等
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：2010
卷号：2010
DOI：10.1155/2010/943565
出版社：Hindawi Publishing Corporation
摘要：The notions of 𝒩-subalgebras and 𝒩-closed ideals in BCH-algebras are introduced, and the relation between 𝒩-subalgebras and 𝒩-closed ideals is considered. Characterizations of 𝒩-subalgebras and 𝒩-closed ideals are provided. Using special subsets, 𝒩-subalgebras and 𝒩-closed ideals are constructed. A condition for an 𝒩-subalgebra to be an 𝒩-closed ideal is discussed. Given an 𝒩-structure, the greatest 𝒩-closed ideal which is contained in the 𝒩-structure is established.