The Generated ⊙-ideals and Prime ⊙-ideals in Regular Residuated Lattices
XU Luo-shan · Journal of Sichuan Normal University · 2010
In this paper,the notions of generated ⊙-ideals and prime ⊙-ideals in a residuated lattice are introduced.Some properties of generated ⊙-ideals and prime ⊙-ideals in a regular residuated lattice are discussed.By using a special set x-1I,a sufficient and necessary condition for a ⊙-ideal to be prime is given,and finally the prime ⊙-ideals theorem in regular residuated lattices is proved.