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
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)
