Extensions of Z−ideals in MV−algebras
Publish place: Iranian Journal of Fuzzy Systems، Vol: 21، Issue: 4
Publish Year: 1403
Type: Journal paper
Language: English
View: 67
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Document National Code:
JR_IJFS-21-4_002
Index date: 24 September 2024
Extensions of Z−ideals in MV−algebras abstract
In this paper, we introduce a special types of Z−ideals in MV −algebras and delve into theirproperties. 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.
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Extensions of Z−ideals in MV−algebras authors
A Hassani Movahed
Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
M Bedrood
Department of Mathematics, University of Salerno, Via Giovanni Paolo II ۱۳۲. ۸۴۰۸۴ Fisciano, SA, Italy.
Arsham Borumand Saeid
Dept. of Math Shahid Bahonar University of Kerman
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