Extensions of Z−ideals in MV−algebras

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.

کلیدواژه ها:

MV -algebra ، ZJ−ideal ، ZNJ−ideal