Title of article
Extensions of Z−ideals in MV−algebras
Author/Authors
Hassani Movahed ، A. Dept of Pure Mathematics - Faculty of Mathematics and Computer - Shahid Bahonar University of Kerman , Bedrood ، M. Dept of Mathematics - University of Salerno , Borumand Saeid ، Arsham Dept of Pure Mathematics - Faculty of Mathematics and Computer - Shahid Bahonar University of Kerman
From page
23
To page
34
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.
Keywords
MV −algebra , ZJ−ideal , ZNJ−ideal
Journal title
Iranian Journal of Fuzzy Systems (IJFS)
Journal title
Iranian Journal of Fuzzy Systems (IJFS)
Record number
2780495
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