标题： 关于近似理想：描述性关系空间中的素理想和1吸收理想 显示英文标题

标题： On approximately ideals: primary and 1-absorbing ideals in descriptive relator spaces

摘要： 对于描述性关系空间中带有单位的近似交换环R的近似理想W，在引入[]中的近似素理想后，本工作展示了这些近似理想的一些特殊性质——特别是近似次素理想、近似半次素理想和近似1吸收素理想。给出了与这些概念相关的定理集合。其中有一个重要结果：如果W是近似1吸收素理想，则r(W)是近似环R的近似素理想。此外，研究了这些类之间的关系：如果W是R的近似素理想，则W也是近似次素理想。而且，结果表明这也是一个近似1吸收素理想。 显示英文摘要

摘要： For the approx.ideal W of the approx.commutative ring R with unity in a descriptive relator space, after introducing the approx. prime ideal in [], this work demonstrates some special properties of the approx.ideals-specifically, the approx.primary ideal, the approx.semi-primary ideal and the approx.1-absorbing primary ideal. A set of theorems related to these concepts is presented. Among them is this important result: If W is an approx.1-absorbing primary ideal, then r(W) is an approx.prime ideal of the approx. ring R. Furthermore, the relationship between these classes is studied: If W is an approx.prime ideal of R, then W is also an approx.primary ideal. Moreover, it turns out that this is an approx.1-absorbing primary ideal.