English

MV-frames

Logic 2024-05-07 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2405.03604,
  title  = {MV-frames},
  author = {Jean B Nganou},
  journal= {arXiv preprint arXiv:2405.03604},
  year   = {2024}
}

Comments

14 pages

R2 v1 2026-06-28T16:18:17.793Z