A generalization of Z◦ -ideals in MV -algebras
Asiyeh Hassani Movahed, Mahta Bedrood, Arsham Borumand Saeid · Journal of algebraic hyperstructures and logical algebras · 2025
This paper introduces Z◦J -ideals in MV -algebras, extending the concept of Z◦ -ideals. Additionally, a broader class of Z◦J -ideals, known as Z◦NJ -ideals, is defined. We then proceed to explore the relationships between the Z◦J - ideals and other types of ideals, focusing on their interactions within the framework of special MV -algebras, for example, semisimple MV - algebras, MV -chain and hyperarchimedean. In general, the aim of this paper is to provide a comprehensive analysis of these ideals in MV - algebras.