Nilpotent Elements of Residuated Lattices
Shokoofeh Ghorbani, Lida Torkzadeh · International Journal of Mathematics and Mathematical Sciences · 2012
Some properties of the nilpotent elements of a residuated lattice are studied. The concept of cyclic residuated lattices is introduced, and some related results are obtained. The relation between finite cyclic residuated lattices and simple MV-algebras is obtained. Finally, the notion of nilpotent elements is used to define the radical of a residuated lattice.