2024/05/06 by Nganou, Jean B
#06D35 #06D50 #06E15 #FOS: Mathematics #Logic (math.LO)
paper · doi:10.48550/arxiv.2405.03604
Complete MV-algebras are naturally equipped with frame structures. We call them MV-frames and investigate some of their main the properties as frames. We completely characterized algebraic MV-frames as well as regular MV-frames. In addition, we consider nuclei on MV-frames in general and on MV-frames of ideals of Lukasiewicz rings. Finally, we used the Chang-Mundici functor to explore the frame structures of complete unital lattice-ordered groups.