Extensions of Z-ideals in MV-algebras

被引：1

作者：

Movahed, A. H. ^{[1
]}

Bedrood, M. ^{[2
]}

Saeid, A. Borumand ^{[1
]}

机构：

[1] Shahid Bahonar Univ Kerman, Fac Math & Comp, Dept Pure Math, Kerman, Iran

[2] Univ Salerno, Dept Math, Via Giovanni Paolo II 132, I-84084 Fisciano, SA, Italy

来源：

IRANIAN JOURNAL OF FUZZY SYSTEMS | 2024年 / 21卷 / 04期

关键词：

MV; -algebra; Z(J)-ideal; Z(NJ)-ideal;

D O I：

10.22111/ijfs.2024.48312.8498

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a special type of Z-ideals in MV -algebras and delve into their properties. These particular ideals are thoroughly examined within the context of MV -chains, semi-simple MV -algebras and Hyperarchimedean structures. Furthermore, we provide characterizations for these ideals, offering equivalent definitions that enhance our understanding of their nature. Our investigation also encompasses the relationships between these special Z-ideals and other types of ideals, such as the minimal prime ideals and the maximal ideals. Overall, this paper aims to provide a comprehensive analysis of special Z-ideals in MV-algebras.

引用

页码：23 / 34

页数：12

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